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Creation of advanced method in mathematical analysis on nonlinear mathematical models of critical type

Research Project

Project/Area Number 19H05597
Research Category

Grant-in-Aid for Scientific Research (S)

Allocation TypeSingle-year Grants
Review Section Broad Section B
Research InstitutionTohoku University

Principal Investigator

小川 卓克  東北大学, 理学研究科, 教授 (20224107)

Co-Investigator(Kenkyū-buntansha) 川島 秀一  早稲田大学, 理工学術院総合研究所(理工学研究所), その他(招聘研究員) (70144631)
高橋 太  大阪公立大学, 大学院理学研究科, 教授 (10374901)
瀬片 純市  九州大学, 数理学研究院, 教授 (90432822)
前川 泰則  京都大学, 理学研究科, 教授 (70507954)
服部 裕司  東北大学, 流体科学研究所, 教授 (70261469)
岩渕 司  東北大学, 理学研究科, 准教授 (40634697)
猪奥 倫左  東北大学, 理学研究科, 准教授 (50624607)
林 仲夫  大阪大学, 理学研究科, 教授 (30173016)
Project Period (FY) 2019-06-26 – 2024-03-31
Project Status Granted (Fiscal Year 2023)
Budget Amount *help
¥131,170,000 (Direct Cost: ¥100,900,000、Indirect Cost: ¥30,270,000)
Fiscal Year 2023: ¥23,010,000 (Direct Cost: ¥17,700,000、Indirect Cost: ¥5,310,000)
Fiscal Year 2022: ¥27,040,000 (Direct Cost: ¥20,800,000、Indirect Cost: ¥6,240,000)
Fiscal Year 2021: ¥25,870,000 (Direct Cost: ¥19,900,000、Indirect Cost: ¥5,970,000)
Fiscal Year 2020: ¥26,390,000 (Direct Cost: ¥20,300,000、Indirect Cost: ¥6,090,000)
Fiscal Year 2019: ¥28,860,000 (Direct Cost: ¥22,200,000、Indirect Cost: ¥6,660,000)
Keywords臨界問題 / 適切性 / 漸近解析 / 粘性流体 / 非線型偏微分方程式 / 非圧縮性粘性流体 / 自由境界問題 / 非線形シュレディンガー方程式 / 非線形境界条件 / Keller-Segel 方程式 / アルツハイマー病 / 解の爆発 / 臨界指数 / 最大正則性 / 初期値境界値問題 / 非線形分散型方程式 / 圧縮性・非圧縮性粘性流体方程式 / Anderson-Chaplain 方程式 / 臨界特異摂動 / 端点最大正則性 / 有界平均振動(BMO) / 非線型シュレディンガー方程式 / 非線型境界値問題 / 臨界適切性 / ナビエストークス方程式 / 移流拡散方程式 / 臨界最大正則性 / 緩和時間零極限 / 一般化された最大正則性 / 消散型非線型シュレディンガー方程式 / 変数係数放物型問題 / Foureri-Sobolev空間 / MHD方程式 / 臨界型非線型問題 / Navier-Stokes方程式 / 臨界型非線型分散問題 / 臨界函数不等式 / 臨界型問題 / Shannonの不等式 / 緩和時間極限 / 不確定性原理 / 高速拡散型退化放物型問題 / Keller-Segel方程式 / 臨界型不等式 / 非線形偏微分方程式 / 変分問題 / 流体方程式
Outline of Research at the Start

本研究では、非線形偏微分方程式で表される数理モデルに対して、実補間理論を駆使した精密な議論や複素解析学からの技法を援用して、臨界性に隠された桁落ち特異性発生の構造を探る. 非線形偏微分方程式の解の挙動などを切り分ける臨界現象の数理構造を明らかにするために臨界拮抗時に発生する特異性を検出・制御する理論を開発する. 桁落ち特異性, すなわち最高次数よりも解析学的に次数の低い対数程度の特異性を解析学的に取り扱う有効な技法を見いだし, 臨界型汎用函数不等式や実補間空間論と融合することにより, 臨界特異性の解析に有効な対数次数の特異点の制御に適合した技法を考案する.

Outline of Annual Research Achievements

研究代表者の小川は勝呂剛志氏(熊本大理)と共同で, Keller-Segel方程式の初期値問題の局所一様Lebesgue 空間での時間局所的適切性を論じ, 特に放物型-放物型問題から放物型-楕円型問題への特異極限を同様な函数空間上で証明した. また関連するモデルとしてアルツハイマー病の数理モデルを記述する誘因-反発型走化性方程式を細野竜也氏(東北大学振PD)と共同で考察し, 空間4次元の大域適切のための初期条件の臨界値を示した.
清水扇丈氏(京大理) と共同で, 非圧縮性粘性流体の自由境界問題に対し, 初期界面が平坦で初期流速が小さい場合の時間大域的適切性を, 境界値問題の時間L-1最大正則性を示した上で証明した. この結果は, Solonnikov に始まる自由境界問題に対する, Fujita-Katoの原理が適用可能であるスケール変換不変空間における問題の取り扱いをはじめて確立した結果であり, 同時期に得られた Danchinら(pre-print)の結果に含まれない, 初期条件を超関数のクラスから選ぶことを許容した結果で. 空間2 次元の非有界領域における時間大域的適切性の最初の結果である. さらに同様の結果を初期界面が平らな場合から, 函数のグラフで記述される初期界面に対する結果に拡張した.
林 仲夫氏(早大理工)とKaikina氏, Naumkin氏(共にメキシコ・モラリア大)と共同で, 空間一次元の半直線上の非線形Schrodinger 方程式を考え, 境界上で解のトレースのべき乗を境界条件を与えた, 境界非線形性による解の有限時間内の爆発を証明した. また佐藤拓也氏(熊本大学振PD)と津原 駿氏(神奈川大工)と共同で, 非線形Schroedinger 方程式の半Eulcid空間における初期値境界値問題を考え, 2次元L2-空間で時間局所適切性を証明した.

Current Status of Research Progress
Current Status of Research Progress

2: Research has progressed on the whole more than it was originally planned.

Reason

非圧縮性粘性流体の自由境界問題においては, ほぼ当初考えた解の時間大域的適切性が初期界面を平坦に選んだ場合, 及び一般的な函数のグラフで記述される場合において証明し成果発表を行った.
ケラーシーゲル系の特異極限の結果は, その後, 医療数理に現れる走化性粘菌モデルを表す非線形放物型方程式系の特異極限に展開され, これらの共通の数理構造である非局所型放物型問題の初期値問題に対する特異極限を考察の後, 特に癌の浸潤モデルであるAnderson-Chapliain モデルに対する特異極限をスケールリング臨界空間で実現した. これは臨界空間における特異摂動に対する, 本研究の主要目的の成果としてあげられるものである. その際, 元々のモデルとの相関に非回帰的Banach空間の一つである, 有界平均振動のクラスでの熱方程式の最大正則性を導入し, 解のクラスである時空空間が初期条件が有界平均振動でありながら最大正則性を保つ必要かつ十分な空間であることを示した. この結果はそれ自身, 非回帰的空間における, 最大正則性として一般論からは得られない事実であり, 臨界空間の構造研究の一つとして, 顕著な成果としてあげられる. さらに局所一様空間におけるKeller-Segel系の特異極限問題では,
やはり非回帰的Banach空間での最大正則性を示すこととなったが, 双対性原理など局所一様Lebesgue空間の特性と, 最大正則性理論の拡張に寄与するところとなった. 総じて最大正則性に関しては大きな進捗を得られたと考える.

Strategy for Future Research Activity

2023年度までの研究で流体の自由境界問題に対する研究は, 非圧縮性粘性流体に対してはほぼ完了し, 圧縮性粘性流体ヘの展開を視野に入れた研究に移行しつつある. さらに流体方程式への応用を契機に考察を進めている非線形シュレディンガー方程式に対する非線形境界条件への展開がすすみ, 高次元の場合への糸口がつかめた. 分散型問題では非線形境界条件の臨界指数の同定, とりわけ非線形境界条件に対するSobolev臨界指数の場合の適切性に研究を進める.
一方半空間における実補間空間における函数について考察を進め, 圧縮性流体問題に適用可能な時間端点最大正則性を示すことで, 圧縮性粘性流体に対する自由境界問題ヘの応用を目指す. 特にマッハ数零の特異極限, あるいは緩和時間零の特異極限に置ける非線形問題の極限方程式への収束をスケール臨界空間で完結させることを目指す.
また, 局所ルベーグ可積分クラスにおける多様な非線型放物型問題の研究は, 非圧縮性粘性流体の運動方程式などの研究において知られるが, 対流拡散方程式に対しても同様の成果を得られたことから, 対流拡散方程式あるいは圧縮性粘性流体の問題に対する拡張を考える. またMHD方程式の研究に端を発し, Hall効果を持つ問題や, 磁気電気効果を持つ問題, さらにスケール臨界空間での可解性に必要な, 双線形評価や時間端点最大正則性, あるいは多重スケール普遍性に起因する非線型構造の分類などの研究を深めたい.
コロナ感染症拡大期に行えなかった, 海外研究者らの招へいや, 若手研究者らの海外短期派遣は2023年度中に一定数, 実現できたが, 研究代表者を始め主体的研究者らの海外派遣を本格的に再開し, 研究成果の世界的な浸透に努めるべく研究交流の活発化を目指し, コロナウイルス感染拡大前の交流の水準に戻すことを目指す.

Assessment Rating
Interim Assessment Comments (Rating)

A: In light of the aim of introducing the research area into the research categories, the expected progress has been made in research.

Report

(8 results)
  • 2022 Annual Research Report
  • 2021 Abstract (Interim Assessment) ( PDF )   Annual Research Report   Interim Assessment (Comments) ( PDF )
  • 2020 Annual Research Report
  • 2019 Abstract ( PDF )   Comments on the Screening Results ( PDF )   Annual Research Report
  • Research Products

    (311 results)

All 2024 2023 2022 2021 2020 2019 2018 Other

All Journal Article (118 results) (of which Int'l Joint Research: 48 results,  Peer Reviewed: 118 results,  Open Access: 34 results) Presentation (186 results) (of which Int'l Joint Research: 65 results,  Invited: 178 results) Book (1 results) Remarks (3 results) Funded Workshop (3 results)

  • [Journal Article] Maximal 𝐿<sup>1</sup>-regularity and free boundary problems for the incompressible Navier–Stokes equations in critical spaces2024

    • Author(s)
      Takayoshi Ogawa, Senjo Shimizu
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 76 Issue: 2 Pages: 593-672

    • DOI

      10.2969/jmsj/88288828

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Free boundary problems of the incompressible Navier--Stokes equations with non-flat initial surface in the critical Besov space2024

    • Author(s)
      Takayoshi Ogawa, Senjo Shimizu
    • Journal Title

      Mathematische Annalen

      Volume: Online Issue: 2 Pages: 3155-3219

    • DOI

      10.1007/s00208-024-02823-x

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Blow up of solutions to nonlinear Neumann boundary value problem for Schrodinger equations2024

    • Author(s)
      Nakao Hayashi, Elena Kaikina, Pavel Naumkin, Takayoshi Ogawa
    • Journal Title

      Differential and Integral Equations

      Volume: 37 Issue: 11/12 Pages: 843-858

    • DOI

      10.57262/die037-1112-843

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Decay property for symmetric hyperbolic system with memory-type relaxation2024

    • Author(s)
      Mori Naofumi、Okada Mari、Kawashima Shuichi
    • Journal Title

      Analysis and Applications

      Volume: 未定(Online ready) Issue: 04 Pages: 1-26

    • DOI

      10.1142/s0219530523500367

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Modified scattering for the higher-order KdV-BBM equations2024

    • Author(s)
      Hayashi Nakao、Naumkin Pavel I.
    • Journal Title

      Journal of Pseudo-Differential Operators and Applications

      Volume: 15 Issue: 1

    • DOI

      10.1007/s11868-024-00588-0

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On Eigenvalue Problems Involving the Critical Hardy Potential and Sobolev Type Inequalities with Logarithmic Weights in Two Dimensions2024

    • Author(s)
      Sano Megumi、Takahashi Futoshi
    • Journal Title

      The Journal of Geometric Analysis

      Volume: 34 Issue: 4 Pages: 1-32

    • DOI

      10.1007/s12220-024-01559-z

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Brezis--Van Schaftingen--Yung formula in Orlicz spaces2024

    • Author(s)
      Norisuke Ioku and Kyosuke Shibuya
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 538 Issue: 2 Pages: 128350-128350

    • DOI

      10.1016/j.jmaa.2024.128350

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Global existence of solutions to the 4D attraction-repulsion chemotaxis system and applications of Brezis-Merle inequality2023

    • Author(s)
      Hosono Tatsuya、Ogawa Takayoshi
    • Journal Title

      Nonlinearity

      Volume: 36 Issue: 11 Pages: 5860-5883

    • DOI

      10.1088/1361-6544/acf6ee

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Linear decay property for the hyperbolic-parabolic coupled systems of thermoviscoelasticity2023

    • Author(s)
      Dharmawardane Priyanjana M. N., Kawashima Shuichi, Ogawa Takayoshi, Segata Jun-ichi
    • Journal Title

      Journal of Hyperbolic Differential Equations

      Volume: 20 Issue: 04 Pages: 967-986

    • DOI

      10.1142/s0219891623500297

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Modified scattering for the derivative fractional nonlinear Schrodinger equation2023

    • Author(s)
      Hayashi Nakao、Naumkin Pavel I.
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 525 Issue: 2 Pages: 127222-127222

    • DOI

      10.1016/j.jmaa.2023.127222

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Modified scattering for the fractional mKdV equation2023

    • Author(s)
      Hayashi Nakao、Naumkin Pavel I.
    • Journal Title

      Journal of Evolution Equations

      Volume: 23 Issue: 3

    • DOI

      10.1007/s00028-023-00910-1

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Asymptotics of solutions for the fractional modified Korteweg-de Vries equation of order a in (2,3)2023

    • Author(s)
      Carreo-Bolaos Rafael、Hayashi Nakao、Naumkin Pavel I.
    • Journal Title

      Partial Differential Equations and Applications

      Volume: 4 Issue: 4

    • DOI

      10.1007/s42985-023-00247-x

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Polynomial deceleration for a system of cubic nonlinear Schrodinger equations in one space dimension2023

    • Author(s)
      N.Kita, S.Masaki, J.Segata, K.Uriya
    • Journal Title

      Nonlinear Analysis

      Volume: 230 Pages: 113216-113216

    • DOI

      10.1016/j.na.2023.113216

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Asymptotic stability of solitary waves for the 1d NLS with an attractive delta potential2023

    • Author(s)
      Masaki Satoshi, Murphy Jason, Segata Jun-ichi
    • Journal Title

      Discrete and Continuous Dynamical Systems

      Volume: 43 Issue: 6 Pages: 2137-2185

    • DOI

      10.3934/dcds.2023006

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Improved Well-Posedness for the Triple-Deck and Related Models via Concavity2023

    • Author(s)
      Gerard-Varet David、Iyer Sameer、Maekawa Yasunori
    • Journal Title

      Journal of Mathematical Fluid Mechanics

      Volume: 25 Issue: 3

    • DOI

      10.1007/s00021-023-00809-4

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The Leibniz rule for the Dirichlet and the Neumann Laplacian2023

    • Author(s)
      Iwabuchi Tsukasa
    • Journal Title

      Tohoku Mathematical Journal

      Volume: 75 Issue: 1 Pages: 67-88

    • DOI

      10.2748/tmj.20211112

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Optimality of the Decay Estimate of Solutions to the Linearised Curl-Free Compressible Navier?Stokes Equations2023

    • Author(s)
      Iwabuchi Tsukasa、O hAodha Daithi
    • Journal Title

      Journal of Mathematical Fluid Mechanics

      Volume: 26 Issue: 1

    • DOI

      10.1007/s00021-023-00837-0

    • Related Report
      2022 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Global well-posedness for the Sobolev critical nonlinear Schrodinger system in four space dimensions2023

    • Author(s)
      Ogawa Takayoshi、Tsuhara Shun
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 524 Issue: 1 Pages: 127052-127052

    • DOI

      10.1016/j.jmaa.2023.127052

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Critical exponent for global existence of solutions to the Schredinger equation with a nonlinear boundary condition2023

    • Author(s)
      Hayashi Nakao、Li Chunhua、Ogawa Takayoshi、Sato Takuya
    • Journal Title

      Nonlinear Analysis

      Volume: 230 Pages: 113229-113229

    • DOI

      10.1016/j.na.2023.113229

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Lagrange Multiplier-Based Optimal Control Technique for Streak Attenuation in High-Speed Boundary Layers2023

    • Author(s)
      Es-Sahli Omar、Sescu Adrian、Koshuriyan M. Zamir A.、Hattori Yuji、Hirota Makoto
    • Journal Title

      AIAA Journal

      Volume: 61 Issue: 1 Pages: 63-75

    • DOI

      10.2514/1.j062255

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Maximal regularity of the heat evolution equation on spatial local spaces and application to a singular limit problem of the Keller?Segel system2022

    • Author(s)
      Ogawa Takayoshi、Suguro Takeshi
    • Journal Title

      Mathematische Annalen

      Volume: in press Issue: 1-2 Pages: 389-431

    • DOI

      10.1007/s00208-022-02469-7

    • Related Report
      2022 Annual Research Report 2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Asymptotic behavior of a solution to the drift-diffusion equation for a fast-diffusion case2022

    • Author(s)
      Ogawa Takayoshi、Suguro Takeshi
    • Journal Title

      Journal of Differential Equations

      Volume: 307 Pages: 114-136

    • DOI

      10.1016/j.jde.2021.10.032

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Local well-posedness and finite time blow-up of solutions to an attraction?repulsion chemotaxis system in higher dimensions2022

    • Author(s)
      Hosono Tatsuya、Ogawa Takayoshi
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 510 Issue: 1 Pages: 126009-126009

    • DOI

      10.1016/j.jmaa.2022.126009

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Maximal L^1-regularity for parabolic initial-boundary value problems with inhomogeneous data2022

    • Author(s)
      Ogawa Takayoshi、Shimizu Senjo
    • Journal Title

      Journal of Evolution Equations

      Volume: 22 Issue: 2

    • DOI

      10.1007/s00028-022-00778-7

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Ill-posedness for the compressible Navier–Stokes equations under barotropic condition in limiting Besov spaces2022

    • Author(s)
      IWABUCHI Tsukasa、OGAWA Takayoshi
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 74 Issue: 2 Pages: 353-394

    • DOI

      10.2969/jmsj/81598159

    • ISSN
      0025-5645, 1881-1167, 1881-2333
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global well-posedness and time-decay of solutions for the compressible Hall-magnetohydrodynamic system in the critical Besov framework2022

    • Author(s)
      Kawashima Shuichi、Nakasato Ryosuke、Ogawa Takayoshi
    • Journal Title

      Journal of Differential Equations

      Volume: 328 Pages: 1-64

    • DOI

      10.1016/j.jde.2022.03.017

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Maximal regularity for the Cauchy problem of the heat equation?in <i>BMO</i>2022

    • Author(s)
      Ogawa Takayoshi、Shimizu Senjo
    • Journal Title

      Mathematische Nachrichten

      Volume: 295 Issue: 7 Pages: 1406-1442

    • DOI

      10.1002/mana.201900506

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Nonlinear Neumann boundary value problem for semilinear heat equations with critical power nonlinearities2022

    • Author(s)
      Hayashi Nakao、Kaikina Elena I.、Naumkin Pavel I.、Ogawa Takayoshi
    • Journal Title

      Asymptotic Analysis

      Volume: 130 Issue: 1-2 Pages: 261-295

    • DOI

      10.3233/asy-211751

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Mathematical modeling and dissipative structure for systems of magnetohydrodynamics with Hall effect2022

    • Author(s)
      Kawashima Shuichi、Nakasato Ryosuke、Ogawa Takayoshi
    • Journal Title

      Mathematical Models and Methods in Applied Sciences

      Volume: 32 Issue: 09 Pages: 1807-1878

    • DOI

      10.1142/s0218202522500427

    • Related Report
      2021 Annual Research Report
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  • [Journal Article] Finite time blow up and concentration phenomena for a solution to drift-diffusion equations in higher dimensions2022

    • Author(s)
      Ogawa Takayoshi、Suguro Takeshi、Wakui Hiroshi
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 62 Issue: 2

    • DOI

      10.1007/s00526-022-02345-x

    • Related Report
      2021 Annual Research Report
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  • [Journal Article] APPLICATIONS OF p-HARMONIC TRANSPLANTATION FOR FUNCTIONAL INEQUALITIES INVOLVING A FINSLER NORM2022

    • Author(s)
      Sadaf Habibi, and Futoshi Takahashi
    • Journal Title

      Partial Differential Equations and Applications

      Volume: 21 Issue: 09 Pages: 1-21

    • DOI

      10.1007/s42985-022-00168-1

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016924

    • Related Report
      2021 Annual Research Report
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  • [Journal Article] Critical Hardy inequality on the half-space via the harmonic transplantation2022

    • Author(s)
      Megumi Sano, and Futoshi Takahashi
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 21 Issue: 12 Pages: 2-42

    • DOI

      10.1007/s00526-022-02265-w

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016927

    • Related Report
      2021 Annual Research Report
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  • [Journal Article] ASYMPTOTIC BEHAVIOR OF LEAST ENERGY SOLUTIONS TO THE FINSLER LANE-EMDEN PROBLEM WITH LARGE EXPONENTS2022

    • Author(s)
      Sadaf Habibi, and Futoshi Takahashi
    • Journal Title

      Discrete and Continuous Dynamical Systems (DCDS)

      Volume: 21 Issue: 04 Pages: 1-30

    • DOI

      10.3934/dcds.2022086

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016919

      https://ocu-omu.repo.nii.ac.jp/records/2019811

    • Related Report
      2021 Annual Research Report
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  • [Journal Article] On asymptotic behavior of solutions to cubic nonlinear Klein-Gordon systems in one space dimension2022

    • Author(s)
      Masaki Satoshi, Segata Jun-ichi, Uriya Kota
    • Journal Title

      Transactions of the American Mathematical Society, Series B

      Volume: 9 Issue: 18 Pages: 517-563

    • DOI

      10.1090/btran/116

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      2021 Annual Research Report
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  • [Journal Article] Rate of the Enhanced Dissipation for the Two-jet Kolmogorov Type Flow on the Unit Sphere2022

    • Author(s)
      Maekawa Yasunori、Miura Tatsu-Hiko
    • Journal Title

      Journal of Mathematical Fluid Mechanics

      Volume: 24 Issue: 3

    • DOI

      10.1007/s00021-022-00718-y

    • Related Report
      2021 Annual Research Report
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  • [Journal Article] On analyticity up to the boundary for critical quasi-geostrophic equation in the half space2022

    • Author(s)
      Iwabuchi Tsukasa
    • Journal Title

      Communications on Pure &amp; Applied Analysis

      Volume: 21 Issue: 4 Pages: 1209-1209

    • DOI

      10.3934/cpaa.2022016

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] An application of spectral localization to the critical SQG on a ball2022

    • Author(s)
      Iwabuchi Tsukasa
    • Journal Title

      Journal of Evolution Equations

      Volume: 22 Issue: 4 Pages: 22-80

    • DOI

      10.1007/s00028-022-00839-x

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Large-time behaviour of solutions to the surface quasi-geostrophic equation2022

    • Author(s)
      OhAodha Daith、Iwabuchi Tsukasa
    • Journal Title

      Partial Differential Equations and Applications

      Volume: 3 Issue: 5 Pages: 60-60

    • DOI

      10.1007/s42985-022-00197-w

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Energy conservation law for weak solutions of the full compressible Navier-Stokes equations2022

    • Author(s)
      Aoki Motofumi、Iwabuchi Tsukasa
    • Journal Title

      Journal of Differential Equations

      Volume: 341 Pages: 481-503

    • DOI

      10.1016/j.jde.2022.09.006

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      2021 Annual Research Report
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  • [Journal Article] $W^{1,p}$ approximation of the Moser--Trudinger inequality2022

    • Author(s)
      Masato Hashizume and Norisuke Ioku
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: on line

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      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global in time solvability for a semilinear heat equation without the self-similar structure2022

    • Author(s)
      Y. Fujishima and N. Ioku
    • Journal Title

      Partial Differential Equations and Applications

      Volume: 3 Issue: 2

    • DOI

      10.1007/s42985-022-00158-3

    • Related Report
      2021 Annual Research Report
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  • [Journal Article] Investigation of G?rtler vortices in high-speed boundary layers via an efficient numerical solution to the non-linear boundary region equations2022

    • Author(s)
      Es-Sahli Omar、Sescu Adrian、Afsar Mohammed、Hattori Yuji
    • Journal Title

      Theoretical and Computational Fluid Dynamics

      Volume: 36 Issue: 2 Pages: 237-249

    • DOI

      10.1007/s00162-021-00576-w

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      2021 Annual Research Report
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  • [Journal Article] Development of subgrid-scale model for LES of Burgers turbulence with large filter size2022

    • Author(s)
      Tabe Jamaat A. Golsa、Hattori B. Yuji
    • Journal Title

      Physics of Fluids

      Volume: 34 Issue: 4 Pages: 045120-045120

    • DOI

      10.1063/5.0087761

    • Related Report
      2021 Annual Research Report
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  • [Journal Article] Optimization of turbulent transition delay effect using quasi-statically transforming wall roughness shape2022

    • Author(s)
      SHIROSAKI Takayuki、HIROTA Makoto、HATTORI Yuji
    • Journal Title

      Journal of Fluid Science and Technology

      Volume: 17 Issue: 3 Pages: JFST0010-JFST0010

    • DOI

      10.1299/jfst.2022jfst0010

    • ISSN
      1880-5558
    • Related Report
      2021 Annual Research Report
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  • [Journal Article] Interscale transfer of turbulent energy in grid-generated turbulence with low Reynolds numbers2022

    • Author(s)
      Wang Muyang、Yurikusa Takuya、Sakai Yasuhiko、Iwano Koji、Ito Yasumasa、Zhou Yi、Hattori Yuji
    • Journal Title

      International Journal of Heat and Fluid Flow

      Volume: 97 Pages: 109031-109031

    • DOI

      10.1016/j.ijheatfluidflow.2022.109031

    • Related Report
      2021 Annual Research Report
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  • [Journal Article] Well-posedness for the Cauchy problem of convection diffusion equations in the critical uniformly local Lebesgue spaces2021

    • Author(s)
      M. R. Haque, N. Ioku, T. Ogawa, R. Sato
    • Journal Title

      Differential Integral Equations

      Volume: 34 Pages: 223-244

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Singular limit problem to the Keller-Segel system in critical spaces and related medical problems - An application of maximal regularity-2021

    • Author(s)
      T. Ogawa
    • Journal Title

      Nonlinear Partial Differential Equations for Future Applications

      Volume: 346 Pages: 103-182

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Inhomogeneous Dirichlet boundary value problem for nonlinear Schredinger equations in the upper half-space2021

    • Author(s)
      Hayashi Nakao、Kaikina Elena I.、Ogawa Takayoshi
    • Journal Title

      Partial Differential Equations and Applications

      Volume: 2 Issue: 6

    • DOI

      10.1007/s42985-021-00120-9

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
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  • [Journal Article] Maximal L^1-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space2021

    • Author(s)
      Ogawa Takayoshi、Shimizu Senjo
    • Journal Title

      Journal of Elliptic and Parabolic Equations

      Volume: 7 Issue: 2 Pages: 509-535

    • DOI

      10.1007/s41808-021-00133-w

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Ill-posedness for the Cauchy problem of the two-dimensional compressible Navier-Stokes equations for an ideal gas2021

    • Author(s)
      Iwabuchi Tsukasa、Ogawa Takayoshi
    • Journal Title

      Journal of Elliptic and Parabolic Equations

      Volume: 7 Issue: 2 Pages: 571-587

    • DOI

      10.1007/s41808-021-00136-7

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Maximal regularity and a singular limit problem for the Patlak?Keller?Segel system in the scaling critical space involving BMO2021

    • Author(s)
      Kurokiba Masaki、Ogawa Takayoshi
    • Journal Title

      Partial Differential Equations and Applications

      Volume: 3 Issue: 1

    • DOI

      10.1007/s42985-021-00134-3

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Dissipative structure and asymptotic profiles for symmetric hyperbolic systems with memory2021

    • Author(s)
      Shogo Taniue and Shuichi Kawashima
    • Journal Title

      Journal of Hyperbolic Differential Equations

      Volume: 18 Issue: 02 Pages: 453-492

    • DOI

      10.1142/s0219891621500144

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] The L energy methods and decay for the compressible Navier-Stokes equations with capillarity2021

    • Author(s)
      Kawashima Shuichi、Shibata Yoshihiro、Xu Jiang
    • Journal Title

      Journal de Math?matiques Pures et Appliqu?es

      Volume: 154 Pages: 146-184

    • DOI

      10.1016/j.matpur.2021.08.009

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
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  • [Journal Article] Thermodynamically consistent modeling for complex fluids and mathematical analysis2021

    • Author(s)
      Suzuki Yukihito、Ohnawa Masashi、Mori Naofumi、Kawashima Shuichi
    • Journal Title

      Mathematical Models and Methods in Applied Sciences

      Volume: 31 Issue: 10 Pages: 1919-1949

    • DOI

      10.1142/s0218202521500421

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dissipative structure for symmetric hyperbolic-parabolic systems with Korteweg-type dispersion2021

    • Author(s)
      Kawashima Shuichi、Shibata Yoshihiro、Xu Jiang
    • Journal Title

      Communications in Partial Differential Equations

      Volume: 47 Issue: 2 Pages: 378-400

    • DOI

      10.1080/03605302.2021.1983596

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] SHARP HARDY-LERAY INEQUALITY FOR CURL-FREE FIELDS WITH A REMAINDER TERM2021

    • Author(s)
      N. Hamamoto, and F. Takahashi
    • Journal Title

      Journal of Functional Analysis

      Volume: 20 Issue: 07 Pages: 1-18

    • DOI

      10.1016/j.jfa.2020.108790

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016894

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
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  • [Journal Article] Sharp Hardy-Leray and Rellich-Leray inequalities for curl-free vector fields2021

    • Author(s)
      N. Hamamoto, and F. Takahashi
    • Journal Title

      Mathematiche Annalen

      Volume: 379 Issue: 1-2 Pages: 719-742

    • DOI

      10.1007/s00208-019-01945-x

    • NAID

      120006998407

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2020095

    • Related Report
      2021 Annual Research Report 2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Best constant of the critical Hardy-Leray inequality for curl-free fields in two dimension2021

    • Author(s)
      N. Hamamoto, and F. Takahashi
    • Journal Title

      Math. Inequalities & Applications

      Volume: 24 Issue: 2 Pages: 399-404

    • DOI

      10.7153/mia-2021-24-27

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Topics of stable solutions to elliptic equations2021

    • Author(s)
      F. Takahashi
    • Journal Title

      Sugaku Expositions

      Volume: 34 Issue: 1 Pages: 35-59

    • DOI

      10.1090/suga/457

    • NAID

      130007557773

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Characterization of dissipative structures for first-order symmetric hyperbolic system with general relaxation2021

    • Author(s)
      Yasunori Maekawa and Yoshihiro Ueda
    • Journal Title

      Mathematics

      Volume: 9 Issue: 7 Pages: 728-728

    • DOI

      10.3390/math9070728

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Gevrey stability of Rayleigh boundary layer in the inviscid limit2021

    • Author(s)
      Maekawa Yasunori
    • Journal Title

      Journal of Elliptic and Parabolic Equations

      Volume: 7 Issue: 2 Pages: 417-438

    • DOI

      10.1007/s41808-021-00128-7

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Note on smoothing estimates for Kolmogorov type equations2021

    • Author(s)
      Maekawa Yasunori
    • Journal Title

      Partial Differential Equations and Applications

      Volume: 2 Issue: 6 Pages: 1-12

    • DOI

      10.1007/s42985-021-00135-2

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On self-similar solutions to degenerate compressible Navier-Stokes equations2021

    • Author(s)
      P. Germain, T. Iwabuchi, T. Leger
    • Journal Title

      Comm. Math. Phys.

      Volume: 381 Issue: 3 Pages: 1001-1030

    • DOI

      10.1007/s00220-020-03919-6

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Backward self-similar solutions for compressible Navier-Stokes equations2021

    • Author(s)
      P. Germain, T. Iwabuchi, T. Leger
    • Journal Title

      Nonlinearity

      Volume: 34 Issue: 2 Pages: 868-894

    • DOI

      10.1088/1361-6544/abcd07

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Self-similar solutions of the compressible Navier?Stokes equations2021

    • Author(s)
      Germain Pierre、Iwabuchi Tsukasa
    • Journal Title

      Archive for Rational Mechanics and Analysis

      Volume: 240 Issue: 3 Pages: 1645-1673

    • DOI

      10.1007/s00205-021-01645-4

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Remark on smoothing property of weak solutions for the Navier-Stokes equations2021

    • Author(s)
      Motofumi Aoki, Tsukasa Iwabuchi
    • Journal Title

      Differential Integral Equations

      Volume: 34 Issue: 3/4 Pages: 199-222

    • DOI

      10.57262/die034-0304-199

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Solvability of a Semilinear Heat Equation via a Quasi Scale Invariance2021

    • Author(s)
      Fujishima Yohei、Ioku Norisuke
    • Journal Title

      Geometric Properties for Parabolic and Elliptic PDE's

      Volume: - Pages: 79-101

    • DOI

      10.1007/978-3-030-73363-6_5

    • ISBN
      9783030733629, 9783030733636
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Numerical Study on Edge Tone with Compressible Direct Nu- merical Simulation: Sound Intensity and Jet Motion2021

    • Author(s)
      S. Iwagami, R. Tabata, T. Kobayashi, Y. Hattori, K. Takahashi
    • Journal Title

      International Journal of Aeroacoustics

      Volume: 20 Issue: 3-4 Pages: 34-34

    • DOI

      10.1177/1475472x211003296

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mechanism of reduction of aeroacoustic sound by porous material: comparative study of microscopic and macroscopic models2021

    • Author(s)
      Sato Yasunori、Hattori Yuji
    • Journal Title

      Journal of Fluid Mechanics

      Volume: 929

    • DOI

      10.1017/jfm.2021.884

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Singular limit for the magnetohydrodynamics of the damped wave type in the critical Fourier--Sobolev space2021

    • Author(s)
      T. Matsui, R. Nakasato, T.Ogawa
    • Journal Title

      J. Differential Equations

      Volume: 271 Pages: 414-446

    • DOI

      10.1016/j.jde.2020.08.023

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Well-posedness for the Cauchy problem of convectiondiffusion equations in the critical uniformly local Lebesgue spaces2021

    • Author(s)
      M. R. Haque, N. Ioku, T. Ogawa, R. Sato
    • Journal Title

      Differential Integral Equations

      Volume: 34 Pages: 223-244

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Global well-posedness for incompressible Navier-Stokes equations in the critical Besov spaces under the Lagrangian coordinate2021

    • Author(s)
      T. Ogawa, S. Shimizu
    • Journal Title

      J. Differential Equations

      Volume: 274 Pages: 613-651

    • DOI

      10.1016/j.jde.2020.10.023

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Decay property for symmetric hyperbolic systems with memory-type diffusion2021

    • Author(s)
      Mari Okada, Naofumi Mori and Shuichi Kawashima
    • Journal Title

      Journal of Differential Equations

      Volume: 276 Pages: 287-317

    • DOI

      10.1016/j.jde.2020.12.021

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global existence for a semi-discrete scheme of some quasilinear hyperbolic balance laws2021

    • Author(s)
      Shuji Yoshikawa, Shuichi Kawashima
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 498 Issue: 1 Pages: 124929-124929

    • DOI

      10.1016/j.jmaa.2021.124929

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Modal stability analysis of arrays of stably stratified vortices2021

    • Author(s)
      Yuji Hattori, Shota Suzuki, Makoto Hirota, Manish Khandelwal
    • Journal Title

      J. Fluid Mech.

      Volume: 909

    • DOI

      10.1017/jfm.2020.865

    • Related Report
      2020 Annual Research Report
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  • [Journal Article] Bilinear estimates in Besov spaces generated by the Dirichlet Laplacian2020

    • Author(s)
      T. Iwabuchi, T. Matsuyama and K. Taniguchi
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 494 Issue: 2 Pages: 124640-124640

    • DOI

      10.1016/j.jmaa.2020.124640

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Singular limit problem for the Keller-Segel system and drift-diffusion system in scaling critical spaces2020

    • Author(s)
      Masaki Kurokibaa, Takayoshi Ogawa
    • Journal Title

      Journal of Evolution Equations

      Volume: 20 Issue: 2 Pages: 421-457

    • DOI

      10.1007/s00028-019-00527-3

    • Related Report
      2020 Annual Research Report 2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dirichlet-boundary value problem for one dimensional nonlinear Schrodinger equations with large initial and boundary data2020

    • Author(s)
      N. Hayashi, E. I. Kaikina, T. Ogawa
    • Journal Title

      NoDEA Nonlinear Differential Equations

      Volume: 27

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Analytic smoothing effect for system of nonlinear Schrodinger equations with general mass resonance2020

    • Author(s)
      T. Ogawa, T. Sato
    • Journal Title

      Hiroshima Math. J.

      Volume: 50 Pages: 73-84

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] L^2-decay rate for the critical nonlinear Schr"odinger equation with a small smooth data2020

    • Author(s)
      T. Ogawa, T. Sato
    • Journal Title

      NoDEA Nonlinear Differential Equations Appl.

      Volume: 27 Issue: 2

    • DOI

      10.1007/s00030-020-0621-3

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Singular limit problem for the two-dimensional Keller-Segel system in scaling critical space2020

    • Author(s)
      Masaki Kurokibaa, Takayoshi Ogawa
    • Journal Title

      Journal of Differential Equations

      Volume: 269 Issue: 10 Pages: 8959-8997

    • DOI

      10.1016/j.jde.2020.06.012

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Maximal L1-regularity for parabolic boundary value problems with inhomogeneous data in the half-space2020

    • Author(s)
      T. Ogawa, S. Shimizu
    • Journal Title

      Proc. Japan Acad.

      Volume: 96 Pages: 57-62

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Global existence and optimal time-decay estimates of solutions to the generalized double dispersion equation on the framework of Besov spaces2020

    • Author(s)
      Y. Wang, J. Xu and S. Kawashima
    • Journal Title

      J. Math. Anal. Appl.

      Volume: 481 Issue: 1 Pages: 123455-123455

    • DOI

      10.1016/j.jmaa.2019.123455

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Finsler Hardy inequalities2020

    • Author(s)
      Mercaldo Anna、Sano Megumi、Takahashi Futoshi
    • Journal Title

      Mathematische Nachrichten

      Volume: 293 Issue: 12 Pages: 2370-2398

    • DOI

      10.1002/mana.201900117

    • NAID

      120007163639

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2020096

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Stability of small solitary waves for the one-dimensional NLS with an attractive delta potential2020

    • Author(s)
      Satoshi Masaki, Jason Murphy and Jun-ichi Segata
    • Journal Title

      Analysis & PDE

      Volume: 13 Issue: 4 Pages: 1099-1128

    • DOI

      10.2140/apde.2020.13.1099

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Long range scattering for the nonlinear Schrodinger equation with higher order anisotropic dispersion in two dimensions2020

    • Author(s)
      Saut Jean-Claude、Segata Jun-ichi
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 483 Issue: 2 Pages: 123638-123638

    • DOI

      10.1016/j.jmaa.2019.123638

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Estimates for the Navier-Stokes equations in the half-space for nonlocalized data2020

    • Author(s)
      Maekawa Yasunori、Miura Hideyuki、Prange Christophe
    • Journal Title

      Analysis & PDE

      Volume: 13 Issue: 4 Pages: 945-1010

    • DOI

      10.2140/apde.2020.13.945

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Assessment of immersed boundary method as a tool for direct numerical simulation of aeroacoustic sound2020

    • Author(s)
      NISHIKAWA Kosei、KONNO Kodai、HATTORI Yuji
    • Journal Title

      Journal of Fluid Science and Technology

      Volume: 15 Issue: 1 Pages: JFST0004-JFST0004

    • DOI

      10.1299/jfst.2020jfst0004

    • NAID

      130007784417

    • ISSN
      1880-5558
    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Streaks in high-speed boundary layers: a view through the full nonlinear boundary-region equations2020

    • Author(s)
      Sescu Adrian、Afsar Mohammed、Hattori Yuji
    • Journal Title

      AIAA Scitech 2020 Forum

      Volume: 1-F Pages: 237189-237189

    • DOI

      10.2514/6.2020-0830

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Structures of wing-tip vortices at low Reynolds numbers and their modelling2020

    • Author(s)
      Hiroshi Koizumi, Yuji Hattori
    • Journal Title

      Fluid Dyn. Res.

      Volume: 52 Issue: 4 Pages: 45503-45503

    • DOI

      10.1088/1873-7005/ab9b63

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Existence of weak solutions to a convection diffusion equation in a uniformly local lebesgue space2020

    • Author(s)
      Rabiul Haque Md., Mathematical Institute, Tohoku University, Sendai 980-8578, Japan、Ogawa Takayoshi、Sato Ryuichi、,Mathematical Institute/Research Alliance Center of Mathematical Science, Tohoku University, Sendai 980-8578, Japan
    • Journal Title

      Communications on Pure & Applied Analysis

      Volume: 19 Issue: 2 Pages: 677-697

    • DOI

      10.3934/cpaa.2020031

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Neumann inhomogeneous initial-boundary value problem for the 2D nonlinear Schredinger equation2020

    • Author(s)
      N.Hayashi and E. I. Kaikina
    • Journal Title

      Nonlinear Differ. Equ. Appl.

      Volume: 27 Issue: 1 Pages: 2-2

    • DOI

      10.1007/s00030-019-0605-3

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Large time asymptotics for the fractional nonlinear Schr_dinger equation.2020

    • Author(s)
      Hayashi, Nakao;_Naumkin, Pavel I.
    • Journal Title

      Adv. Differential Equations

      Volume: 25 Pages: 31-80

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Sharp Hardy-Leray inequality for three-dimensional solenoidal fields with axisymmetric swirl2019

    • Author(s)
      Naoki Hamamoto and Futoshi Takahashi
    • Journal Title

      Communications of Pure and Applied Analysis

      Volume: 19 Issue: 6 Pages: 3209-3222

    • DOI

      10.3934/cpaa.2020139

    • NAID

      120007119724

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2019786

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Analyticity and large time behavior for the Burgers equation and the quasi-geostrophic equation, the both with the critical dissipation2019

    • Author(s)
      T. Iwabuchi
    • Journal Title

      Ann. Inst. H. Poincar_ Anal. Non Lin_aire

      Volume: on line Issue: 4 Pages: 855-876

    • DOI

      10.1016/j.anihpc.2020.02.003

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations2019

    • Author(s)
      Norisuke Ioku and Takayoshi Ogawa
    • Journal Title

      J. Differential Equations

      Volume: 266 Issue: 4 Pages: 2274-2293

    • DOI

      10.1016/j.jde.2018.08.030

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Beckner type of the logarithmic Sobolev and a new type of Shannon's inequalities and an application to the uncertainty principle2019

    • Author(s)
      H. Kubo, T.Ogawa and T. Suguro
    • Journal Title

      Proc. Ameri. Math. Soc.

      Volume: 147 Issue: 4 Pages: 1511-1518

    • DOI

      10.1090/proc/14350

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite time blow up for solutions to a degenerate drift-diffusion equation for a fast diffusion case2019

    • Author(s)
      Masaki Kurokiba, Takayoshi Ogawa
    • Journal Title

      Nonlinearity

      Volume: 32-6号 Issue: 6 Pages: 2073-2093

    • DOI

      10.1088/1361-6544/ab0069

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite time blow up and non-uniform bound for solutions to a degenerate drift-diffusion equation with the mass critical exponent under non-weight condition2019

    • Author(s)
      T. Ogawa, H. Wakui
    • Journal Title

      manuscripta math.

      Volume: in press Issue: 3-4 Pages: 475-509

    • DOI

      10.1007/s00229-019-01108-x

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Inhomogeneous Neumann-boundary value problem for one dimensional nonlinear Schr?dinger equations via factorization techniques2019

    • Author(s)
      Esquivel Liliana、Hayashi Nakao、Kaikina Elena I.
    • Journal Title

      Journal of Mathematical Physics

      Volume: 60 Issue: 9 Pages: 091507-091507

    • DOI

      10.1063/1.5083078

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Asymptotic stability of rarefaction waves for a hyperbolic system of balance laws2019

    • Author(s)
      K. Nakamura, T. Nakamura and S. Kawashima
    • Journal Title

      Kinetic and Related Models

      Volume: 12 Issue: 4 Pages: 923-944

    • DOI

      10.3934/krm.2019035

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] CRITICAL AND SUBCRITICAL FRACTIONAL TRUDINGER-MOSER TYPE INEQUALITIES ON R2019

    • Author(s)
      F. Takahashi
    • Journal Title

      Advances in Nonlinear Analysis

      Volume: 16 Issue: 14 Pages: 1-22

    • DOI

      10.1515/anona-2017-0116

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2016854

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Weighted Hardy's inequality in a limiting case and the perturbed Kolmogorov equation2019

    • Author(s)
      Sano Megumi、Takahashi Futoshi
    • Journal Title

      Applicable Analysis

      Volume: 98 Issue: 10 Pages: 1875-1888

    • DOI

      10.1080/00036811.2018.1471208

    • NAID

      120006770009

    • URL

      https://ocu-omu.repo.nii.ac.jp/records/2019616

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Hardy's inequality in a limiting case on general bounded domains2019

    • Author(s)
      Jaeyoung Byeon and Futoshi Takahashi
    • Journal Title

      Communications in Contemporary Mathematics

      Volume: 21 Issue: 08 Pages: 1850070-1850070

    • DOI

      10.1142/s0219199718500700

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Asymptotic behavior in time of solution to the nonlinear Schr"odinger equation with higher order anisotropic dispersion2019

    • Author(s)
      Saut Jean-Claude、Segata Jun-ichi
    • Journal Title

      Discrete & Continuous Dynamical Systems - A

      Volume: 39 Issue: 1 Pages: 219-239

    • DOI

      10.3934/dcds.2019009

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A note on Strichartz estimates for Airy equation and its application. Harmonic analysis and nonlinear partial differential equations2019

    • Author(s)
      Masaki, Satoshi;_Segata, Jun-ichi
    • Journal Title

      RIMS K_ky_roku Bessatsu,_

      Volume: B74 Pages: 1-21

    • NAID

      120006766091

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On stationary two-dimensional flows around a fast rotating disk2019

    • Author(s)
      Gallagher, I., Higaki, M., and Maekawa, Y.
    • Journal Title

      Math. Nachr.

      Volume: 292 Issue: 2 Pages: 273-308

    • DOI

      10.1002/mana.201700400

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Local energy weak solutions for the Navier-Stokes equations in the half-space2019

    • Author(s)
      Maekawa, Y., Miura, H., and Prange, C.
    • Journal Title

      Commun. Math. Phys.

      Volume: 367 Issue: 2 Pages: 517-580

    • DOI

      10.1007/s00220-019-03344-4

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Sobolev stability of Prandtl expansions for the steady Navier-Stokes equations2019

    • Author(s)
      Gerard-Varet, D. and Maekawa, Y.
    • Journal Title

      Arch Rational Mech Anal

      Volume: 233 Issue: 3 Pages: 1319-1382

    • DOI

      10.1007/s00205-019-01380-x

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On stability of blow-up solutions of the Burgers vortex type for the Navier-Stokes equations with a linear strain2019

    • Author(s)
      Maekawa Yasunori, Miura Hideyuki, Prange Christophe
    • Journal Title

      Journal of Mathematical Fluid Mechanics

      Volume: 21 Issue: 4

    • DOI

      10.1007/s00021-019-0450-5

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On pseudospectral bound for non-selfadjoint operators and its application to stability of Kolmogorov flows2019

    • Author(s)
      Ibrahim, S., Maekawa, Y., and Masmoudi, N.
    • Journal Title

      Annals of PDE

      Volume: 5 Issue: 2

    • DOI

      10.1007/s40818-019-0070-7

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Recent progress on mathematical analysis of the Prandtl boundary layer expansion._(Japanese)2019

    • Author(s)
      Maekawa, Yasunori
    • Journal Title

      数学

      Volume: 71 Pages: 337-354

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Besov spaces on open sets2019

    • Author(s)
      T. Iwabuchi, T. Matsuyama and K. Taniguchi
    • Journal Title

      Bull. Sci. Math.

      Volume: 152 Pages: 93-149

    • DOI

      10.1016/j.bulsci.2019.01.008

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Attainability of the best Sobolev constant in a ball2019

    • Author(s)
      N. Ioku
    • Journal Title

      Mathematische Annalen

      Volume: in press Issue: 1-2 Pages: 1-16

    • DOI

      10.1007/s00208-018-1776-7

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Non-uniqueness for a critical heat equation in two dimensions with singular data2019

    • Author(s)
      Ioku Norisuke、Ruf Bernhard、Terraneo Elide
    • Journal Title

      Annales de l'Institut Henri Poincare C, Analyse non lineaire

      Volume: 36 Issue: 7 Pages: 2027-2051

    • DOI

      10.1016/j.anihpc.2019.07.004

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Energy structure and asymptoticprofile of the linearized system of thermo-elastic equation in lower space dimensions2019

    • Author(s)
      Y. Kimura and T. Ogawa
    • Journal Title

      Adv. Study Pure Math.

      Volume: 81 Pages: 101-120

    • DOI

      10.1017/jfm.2019.621

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Generation of bulk vorticity and current density in current-vortex sheet models2019

    • Author(s)
      Stefan G. Llewellyn Smith, Yuji Hattori
    • Journal Title

      High Energ. Dens. Phys

      Volume: 33 Pages: 100712-100712

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Modified Scattering for the One-Dimensional Cubic NLS with a Repulsive Delta Potential2018

    • Author(s)
      Masaki Satoshi、Murphy Jason、Segata Jun-Ichi
    • Journal Title

      International Mathematics Research Notices

      Volume: - Issue: 24 Pages: 1-27

    • DOI

      10.1093/imrn/rny011

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] End point maximal regularity and free boundaryu problem for the Navier-Stokes equations2024

    • Author(s)
      T.Ogawa
    • Organizer
      国際研究集会``Regularity and Singularity for Geometric PDE and related topics"
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] BMOにおける熱方程式の最大正則性とHall-MHD方程式の適切性2024

    • Author(s)
      小川卓克
    • Organizer
      研究集会「深江における非線形偏微分方程式研究集会」
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Mathematical analysis for the fundamental system in electro-magneto-hydrodynamics2024

    • Author(s)
      川島秀一
    • Organizer
      北九州地区における偏微分方程式研究集会
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Fundamental system in electro-magneto-hydrodynamics: Symmetrization and well-posedness2024

    • Author(s)
      川島秀一
    • Organizer
      京都大学 NLPDE セミナー
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Fractional nonlinear Sch_dinger equations with derivative or power nonlinearities2024

    • Author(s)
      N.Hayashi
    • Organizer
      国際研究集会 ”Regularity and Singularity for Geometric PDE and related topics"
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Subcritical Hartree type equations in one space dimension2024

    • Author(s)
      N.Hayashi
    • Organizer
      第41回九州における偏微分方程式研究集会
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Schr_dinger equation with nonlinear boundary conditions2024

    • Author(s)
      林仲夫
    • Organizer
      第42回非線形発展方程式セミナー@KUE
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] A curl-free improvement of the Rellich-Hardy inequality with weight2024

    • Author(s)
      F. Takahashi
    • Organizer
      国際研究集会``Regularity and Singularity for Geometric PDE and related topics"
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] N 次元 Liouville バブルの非退化性2024

    • Author(s)
      高橋 太
    • Organizer
      深江における非線型偏微分方程式研究集会
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Optimal rate of convergence to nondegenerate asymptotic profiles for fast diffusion2024

    • Author(s)
      前川泰則
    • Organizer
      Saga Workshop on Partial Differential Equations
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Dyadic decomposition for the Dirichlet Laplacian applied to the SQG equation2024

    • Author(s)
      T.Iwabuchi
    • Organizer
      国際研究集会「Analysis of PDEs in Fluid」
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dyadic decomposition for the Dirichlet Laplacian applied to the surface quasi-geostrophic equation2024

    • Author(s)
      T.Iwabuchi
    • Organizer
      早稲田大学 応用解析研究会
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Dyadic decomposition of the spectrum for the Dirichlet Laplacian applied to the critical surface quasi-geostrophic equation2024

    • Author(s)
      T.Iwabuchi
    • Organizer
      国際研究集会「Critical phenomena in Nonlinear Partial Differential Equations, Harmonic analysis, and Functional inequalities」
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maximal regularity for the heat equations in BMO2023

    • Author(s)
      T.Ogawa
    • Organizer
      国際研究集会 ``Functional Inequality and Asymptotic Behavior of Nonlienar Elliptic Equations",
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maximal regularity for the Cauchy problem of the heat equation in BMO and applications2023

    • Author(s)
      T.Ogawa
    • Organizer
      国際研究集会 ``Mathematical Analysis of Nonlinear Dispersive and Wave Equations"
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 端点最大正則性とその臨界型非線型問題への応用 II2023

    • Author(s)
      小川卓克
    • Organizer
      日本数学会 函数方程式論分科会「微分方程式の総合的研究] サーベイ講演
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Maximal L1 regularity for the Stokes System and a free surface problem of the incompressible Navier-Stokes equations in a scaling critical space2023

    • Author(s)
      T.Ogawa
    • Organizer
      中国科学院 数学研究所 解析セミナー (on line)
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] 放物型方程式の初期値問題に対する有界平均振動における最大正則性について2023

    • Author(s)
      小川卓克
    • Organizer
      研究集会「応用解析研究会 40周年記念講演会」
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Asymptotics of solutions to the fractional nonlinear Schr"odinger equations (Zoom)2023

    • Author(s)
      N.Hayashi
    • Organizer
      Workshop on Nonlinear Dispersive Equations, Fudan University
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Self-similar character of the derivative fractional nonlinear Schr"odinger equation (Zoom)2023

    • Author(s)
      N.Hayashi
    • Organizer
      Yanbian University, Mathematical seminar
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] 分数冪非線形シュレディンガー方程式の解の存在と漸近的振る舞い2023

    • Author(s)
      林仲夫
    • Organizer
      研究集会「応用解析研究会 40周年記念講演会」
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Fractional nonlinear Schr_dinger equations2023

    • Author(s)
      林仲夫
    • Organizer
      One day workshop on mathematical analysis in Hakodate, 公立はこだて未来大学
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] 臨界冪 Hartree 型方程式について2023

    • Author(s)
      林仲夫
    • Organizer
      第16回 実解析と函数解析による微分方程式セミナー, 鳴子
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Sharp Hardy-Leray and related inequalities for vector fields with differential constraints2023

    • Author(s)
      F. Takahashi
    • Organizer
      13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS10
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Asymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponents2023

    • Author(s)
      F. Takahashi
    • Organizer
      13th AIMS Conference on Dynamical Systems, Differential Equations and Applications, SS10
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On eigenvalue problems involving the critical Hardy potential and Sobolev type inequalities with logarithmic weights in two dimensions2023

    • Author(s)
      F. Takahashi
    • Organizer
      Beijing-Osaka joint workshop for PDE and related topics
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On eigenvalue problems involving the critical Hardy potential and Sobolev type inequalities with logarithmic weights in two dimensions2023

    • Author(s)
      高橋太
    • Organizer
      RIMS 共同研究「常微分方程式の定性的理論の発展とその応用」
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Sharp Hardy-Leray and related inequalities for vector fields with differential constraints2023

    • Author(s)
      F. Takahashi
    • Organizer
      国際研究集会``Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities"
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On eigenvalue problems involving the critical Hardy potential and Sobolev type inequalities with logarithmic weights in two dimensions2023

    • Author(s)
      F. Takahashi
    • Organizer
      RIMS共同研究(公開型) ``Geometric Aspects of Partial Differential Equations"(偏微分方程式の幾何的様相)
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] N 次元 Liouville バブルの非退化性2023

    • Author(s)
      高橋 太
    • Organizer
      東京都立大学「数理解析セミナー」
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] 非線形分散型方程式系の長距離散乱について2023

    • Author(s)
      瀬片 純市
    • Organizer
      大阪大学数学教室談話会
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] 非線形シュレディンガー方程式系の解の長時間挙動について2023

    • Author(s)
      瀬片 純市
    • Organizer
      東京理科大学神楽坂解析セミナー
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Optimal rate of convergence to nondegenerate asymptotic profiles for fast diffusion2023

    • Author(s)
      Y. Maekawa
    • Organizer
      国際研究集会``Harmonic Analysis and Nonlinear Partial Differential Equations"
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Optimal rate of convergence to nondegenerate asymptotic profiles for fast diffusion2023

    • Author(s)
      Y. Maekawa
    • Organizer
      国際研究集会``Recent Advances in Nonlinear PDEs and their Applications in Celebration of the 60th Anniversary of CUHK"
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the stability of the boundary layer in the inviscid limit for the Navier-Stokes flows2023

    • Author(s)
      Y. Maekawa
    • Organizer
      国際研究集会``NCTS-Kyoto Mathematics Symposium"
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Optimal rate of convergence to nondegenerate asymptotic profiles for fast diffusion2023

    • Author(s)
      Y. Maekawa
    • Organizer
      Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dyadic decomposition of the spectrum for the Dirichlet Laplacian applied to the critical surface quasi-geostrophic equation2023

    • Author(s)
      T.Iwabuchi
    • Organizer
      国際研究集会「East Asian Workshop on Partial Differential Equations from Kinetics and Continuum Mechanics in Tokyo」
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A localized maximum principle and its application to the critical SQG on bounded domain2023

    • Author(s)
      T.Iwabuchi
    • Organizer
      国際研究集会「ICIAM 2023」
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Singular solutions for semilinear elliptic equations with exponential type nonlinearities in 2-d2023

    • Author(s)
      N. Ioku
    • Organizer
      国際研究集会``Workshop on Elliptic and Parabolic PDEs 2023''
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Non-uniqueness for a critical heat equation in two dimensions with singular data2023

    • Author(s)
      N. Ioku
    • Organizer
      2023 AIMS, SS10, Sharp inequalities and nonlinear differential equations
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Singular solutions for semilinear elliptic equations with exponential type nonlinearities in 2-d2023

    • Author(s)
      N. Ioku
    • Organizer
      松山解析セミナー
    • Related Report
      2022 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 指数型非線形項を持つ2次元楕円型方程式の特異解について2023

    • Author(s)
      猪奥倫左
    • Organizer
      HMA 冬の研究会
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] 指数型非線形項を持つ熱方程式の解の非一意性2023

    • Author(s)
      猪奥倫左
    • Organizer
      調和解析セミナー
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] Non-uniqueness for a critical heat equation in two dimensions with singular data2023

    • Author(s)
      猪奥倫左
    • Organizer
      応用数学セミナー
    • Related Report
      2022 Annual Research Report
    • Invited
  • [Presentation] On the ill-posedness for the full-system of the compressible Navier-Stokes equation2023

    • Author(s)
      M. Aoki, T. Iwabuchi
    • Organizer
      日本数学会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Optimality of the decay estimate of solutions to the linearised curl-free compressible Navier-Stokes equations2023

    • Author(s)
      D. O hAodha, T. Iwabuchi
    • Organizer
      日本数学会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] End-point maximal regularity for the Stokes system and an application2022

    • Author(s)
      T.Ogawa
    • Organizer
      国際研究集会 ``Theoritical and Numerical trends in Inverse Problems and Control for PDEs, and Hamilton-Jacobi Equations'', A French-Italian-Japanese Conference,
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Initial bounary value problem for nonlinear Schr\"odinger equations in low dimensioinal half-space2022

    • Author(s)
      T.Ogawa
    • Organizer
      国際研究集会 ``Mathematical Analysis of Nonlinear Dispersive and Wave Equations"
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Free surface problem of the incompressible Navier-Stokes equations in a critical space2022

    • Author(s)
      T.Ogawa
    • Organizer
      International workshop on ``Multiphase Flows, Analysis, Modeling and Numerics"
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 端点最大正則性と臨界型非線型問題への応用2022

    • Author(s)
      小川卓克
    • Organizer
      日本数学会 令和5年度年会, 企画特別講演
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Uncertainty principle and related inequalities with the wave packet transform2022

    • Author(s)
      小川卓克
    • Organizer
      研究集会 「偏微分方程式の解の特異性とその周辺」
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] L 1-最大正則性とNavier-Stokes 方程式の 臨界自由境界問題2022

    • Author(s)
      小川卓克
    • Organizer
      研究集会 「北九州における偏微分方程式研究集会」
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Maximal L1 regularity for parabolic equations and a free boundary problem of the Navier-Stokes equations2022

    • Author(s)
      小川卓克
    • Organizer
      研究集会 「第24回北東数学解析研究会」
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 放物型方程式の端点最大正則性とその応用2022

    • Author(s)
      小川卓克
    • Organizer
      研究集会 「微分方程式における解の漸近挙動の解析とその周辺」
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Decay property for symmetric hyperbolic system with memory-type diffusion2022

    • Author(s)
      森直文, 岡田真理, 川島秀一
    • Organizer
      日本数学会2022年度秋季総合分科会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Decay property for symmetric hyperbolic system with memory-type relaxation2022

    • Author(s)
      森直文, 岡田真理, 川島秀一
    • Organizer
      日本数学会2022年度秋季総合分科会
    • Related Report
      2021 Annual Research Report
  • [Presentation] Mathematical analysis for the system in electro-magneto-hydrodynamics2022

    • Author(s)
      川島秀一
    • Organizer
      室蘭工大PDE研究会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Decay property for the system in electro-magneto-hydrodynamics2022

    • Author(s)
      S. Kawashima
    • Organizer
      Analysis Seminar
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dissipative structure for the system in electro-magneto-hydrodynamics2022

    • Author(s)
      川島秀一
    • Organizer
      黒木場正城教授追悼研究集会「非線型偏微分方程式と走化性」
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Dissipative structure for the system in electro-magneto-hydrodynamics2022

    • Author(s)
      S. Kawashima
    • Organizer
      International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Well-posedness of the system in electro-magneto-hydrodynamics2022

    • Author(s)
      川島秀一
    • Organizer
      「応用解析」研究会定例セミナー
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Dissipative structure for symmetric hyperbolic-parabolic systems with non-symmetric relaxation2022

    • Author(s)
      川島秀一
    • Organizer
      北九州地区における偏微分方程式研究集会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 臨界 Hardy ポテンシャルを含む Neumann 固有値問題について2022

    • Author(s)
      高橋太
    • Organizer
      研究集会「偏微分方程式の臨界現象と正則性理論及び漸近解析」
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 臨界 Hardy ポテンシャルを含む Neumann 固有値問題について2022

    • Author(s)
      高橋太
    • Organizer
      第79回東京工業大学数理解析セミナー
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Nondegeneracy of the entire solution for the $N$-Laplace Liouville equation2022

    • Author(s)
      高橋太
    • Organizer
      研究集会「精密解析による非線形問題の新展開」
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] A curl-free improvement of the Rellich-Hardy inequality with weight2022

    • Author(s)
      F. Takahashi
    • Organizer
      MATRIX-RIMS Tandem Workshop`Geometric Analysis in Harmonic Analysis and PDE",2022,2022,1,1
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Asymptotic behavior in time of solution to system of cubic nonlinear Schrodinger equations in one space dimension2022

    • Author(s)
      Jun-ichi Segata
    • Organizer
      RIMS研究集会 Workshop on Variational Methods and Dispersive Equations
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the solvability of the linearized Triple-Deck system in Gevrey 3 class2022

    • Author(s)
      Y. Maekawa
    • Organizer
      The 8th Japan-China Workshop on Mathematical Topics from Fluid Mechanics
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] On the solvability of the linearized Triple-Deck systemin Gevrey 3 2class,2022

    • Author(s)
      Y. Maekawa
    • Organizer
      Analysis of fluid dynamical PDEs,2022,2022,1,1
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] A spectral localization applied to the critical surface quasi-geostrophic equation on a ball2022

    • Author(s)
      T. Iwabuchi
    • Organizer
      日本数学会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] On the energy conservation law for the full system of compressible Navier_Stokes equations2022

    • Author(s)
      M. Aoki, T. Iwabuchi
    • Organizer
      日本数学会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] A localized maximum principle and its application to the critical SQG on bounded domain2022

    • Author(s)
      T. Iwabuchi
    • Organizer
      The 40th Kyushu Symposium on Partial Differential Equations
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A localized maximum principle and an application to the critical SQG on bounded domain2022

    • Author(s)
      T. Iwabuchi
    • Organizer
      International Workshop on Multiphase Flows: Analysis, Modelling and Numerics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A localized maximum principle and its application to the critical SQG on bounded domain2022

    • Author(s)
      T. Iwabuchi
    • Organizer
      第183回神楽坂解析セミナー
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Semigroups generated by fractional Laplacian and Sobolev spaces on arbitrary domains2022

    • Author(s)
      R. Farwig, T. Iwabuchi
    • Organizer
      日本数学会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] A sufficient condition for the energy conservation law of compressible Navier-Stokes equations2022

    • Author(s)
      M. Aoki, T. Iwabuchi
    • Organizer
      日本数学会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 表面準地衡方程式の解の最適な減衰評価2022

    • Author(s)
      D. O hAodha, T. Iwabuchi
    • Organizer
      日本数学会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] $W^{1,p}$ approximation of the Moser--Trudinger inequality2022

    • Author(s)
      N. Ioku
    • Organizer
      Analysis seminar at Firenze University
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Solvability of a semilinear heat equation via quasi scale invariance2022

    • Author(s)
      N. Ioku
    • Organizer
      East Asia Core Doctoral Forum in Mathematics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] $W^{1,p}$ approximation of the Moser--Trudinger inequality2022

    • Author(s)
      N. Ioku
    • Organizer
      Analysis seminar at Milano University
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Searching for a Wall Model in LES using a Data-Driven Approach2022

    • Author(s)
      G. Tabe Jamaat, Y. Hattori
    • Organizer
      Nineteenth International Conference on Flow Dynamics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Turbulent transition of helical vortices destabilized by short-wave instability2022

    • Author(s)
      Yuji Hattori
    • Organizer
      75th Annual Meeting of the Division of Fluid Dynamics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Stable a posteriori LES of forced two-dimensional turbulence using shallow artificial neural networks2022

    • Author(s)
      Aditya Sai Pranith Ayapilla, Yuji Hattori
    • Organizer
      75th Annual Meeting of the Division of Fluid Dynamics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Efficient evaluation of the surface roughness effect on boundary layer using quasi-statically transforming roughness shape2022

    • Author(s)
      Takayuki Shirosaki, Makoto Hirota, Yuji Hattori
    • Organizer
      75th Annual Meeting of the Division of Fluid Dynamics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Instability of Curved Vortices2022

    • Author(s)
      Yuji Hattori
    • Organizer
      International Workshop on Turbulence, Vorticity Dynamics and Wind Energy
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] らせん渦の線形不安定性における軸流の向きの効果2022

    • Author(s)
      服部裕司, Ivan Delbende, Maurice Rossi
    • Organizer
      日本流体力学会年会2022
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 平面/凹面上における圧縮性乱流境界層の直接数値シミュレーション2022

    • Author(s)
      小澤郁真, 服部裕司
    • Organizer
      日本流体力学会年会2022
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] アジョイント法による空力騒音低減を目的とする形状最適化:形状表現の改良の効果2022

    • Author(s)
      嶋崎 渉, 服部裕司
    • Organizer
      第36回数値流体力学シンポジウム
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] End-point maximal regularity and free boundary problem of the Navier-Stokes equations2021

    • Author(s)
      T.Ogawa
    • Organizer
      MSJ-KSM Joint Meeting 2021 (日本数学会-韓国数学会合同講演会 2021 年)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Finite time blow-up and concentration phenomena of a solution to a drift-diffusion equation in higher demension2021

    • Author(s)
      小川卓克
    • Organizer
      研究集会 「非線型の諸問題」
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Finite time blow-up and concentration phenomena of a solution to a drift-diffusion equation in higher demension2021

    • Author(s)
      小川卓克
    • Organizer
      RACMaS パターンダイナミクス数理セミナー
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Finite time blow-up and concentration phenomena of a solution to a drift-diffusion equation in higher demension2021

    • Author(s)
      小川卓克
    • Organizer
      早稲田大学 応用解析研究会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 「非線型発展方程式の臨界構造について」―流体方程式をめぐって―-2021

    • Author(s)
      小川卓克
    • Organizer
      東北大学 理学研究科同窓会 合同講演会 (オンデマンド方式)
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 1次元分数べき Trudinger-Moser 不等式の最大化元の存在・非存在と非斉次制約条件の影響2021

    • Author(s)
      高橋太
    • Organizer
      早稲田大学「応用解析研究会」(第746回)
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 1次元分数べき Trudinger-Moser 不等式の最大化元の存在・非存在と非斉次制約条件の影響2021

    • Author(s)
      高橋太
    • Organizer
      熊本大学「応用解析セミナー」(第154回)
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Asymptotic behavior of least energy solutions to theFinsler Lane-Emden problem with large exponents,2021

    • Author(s)
      高橋太
    • Organizer
      第39回 九州における偏微分方程式研究集会,2021,2021,1,0
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Asymptotic behavior of least energy solutions to the Finsler Lane-Emden problem with large exponents2021

    • Author(s)
      F. Takahashi
    • Organizer
      OCAMI (大阪市立大学数学研究所)談話会,2021,2021,1,
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] デルタポテンシャルをもつ非線形シュレディンガー方程式の解の長時間挙動2021

    • Author(s)
      瀬片 純市
    • Organizer
      京都大学大学院理学研究科数学教室談話会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 非線形シュレディンガー方程式のシステムの解の長時間挙動について2021

    • Author(s)
      瀬片 純市
    • Organizer
      第11回室蘭非線形解析研究会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Gevrey stability of Rayleigh boundary layer in the inviscid limit2021

    • Author(s)
      Y. Maekawa
    • Organizer
      Fudan International Seminar on Analysis, PDEs, and Fluid mechanics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Recent progress on the Prandtl boundary layer expansion for viscous incompressible flows2021

    • Author(s)
      Y. Maekawa
    • Organizer
      Asia-Pacific Analysis and PDE Seminar
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Gevrey stability of Rayleigh boundary layer in the inviscid limit2021

    • Author(s)
      Y. Maekawa
    • Organizer
      Colloquium talk at Institute of Natural Sciences/School of Math at SJTU
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Algebraic characterization on the dissipative structure of the first-order symmetric hyperbolic system with general relaxation2021

    • Author(s)
      Y. Maekawa
    • Organizer
      International Workshop on Recent Advances in Nonlinear PDEs
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Rayleigh 境界層周りにおける Prandtl 境界層展開につ いて2021

    • Author(s)
      前川泰則
    • Organizer
      北海道大学 偏微分方程式セミナー
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Ill-posedness for compressible Navier-Stokes equations in two space dimensions2021

    • Author(s)
      T. Iwabuchi
    • Organizer
      京都大学 NLPDEセミナー
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Ill-posedness for two dimensional compressible Navier_Stokes equations with scaling critical regularity2021

    • Author(s)
      T. Iwabuchi, T. Ogawa
    • Organizer
      日本数学会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Some bilinear estimates for functions with the Dirichlet boundary condition and an application to SQG2021

    • Author(s)
      T. Iwabuchi
    • Organizer
      RIMS Workshop on Mathematical Analysis in Fluid and Gas Dynamics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 臨界型 Burgers 方程式に対する解析性と長時間挙動について2021

    • Author(s)
      T. Iwabuchi
    • Organizer
      東北大学 応用数理解析セミナー
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Attainability of the best Sobolev constant in a ball2021

    • Author(s)
      N. Ioku
    • Organizer
      The 8th European Congress of Mathematics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Solvability of a semilinear heat equation via quasi scale invariance2021

    • Author(s)
      猪奥倫左
    • Organizer
      研究集会「非線形の諸問題」
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Sobolev型不等式の最良定数と達成可能性2021

    • Author(s)
      猪奥倫左
    • Organizer
      作用素論セミナー
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Searching for Subgrid-Scale Model for Burgers Equation Using Neural Network2021

    • Author(s)
      Golsa Tabe Jamaat, Yuji Hattori
    • Organizer
      Eighteenth International Conference on Flow Dynamics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical Study on Local Scale Similarity of Primary and Secondary Crossflow Instability2021

    • Author(s)
      Makoto Hirota, Yuki Ide, Yuji Hattori
    • Organizer
      Eighteenth International Conference on Flow Dynamics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Characteristics of Inertial Waves on Axisymmetric Vortex2021

    • Author(s)
      Tetsuya Abe, Yuji Hattori
    • Organizer
      Eighteenth International Conference on Flow Dynamics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Instability and Wave Interactions in Helical Vortices2021

    • Author(s)
      Yuji Hattori, Ivan Delbende, Maurice Rossi
    • Organizer
      21th International Symposium on Advanced Fluid Information
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 回転成層流体中の渦列の不安定性2021

    • Author(s)
      服部裕司, 廣田真
    • Organizer
      日本物理学会2021年秋季大会
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 渦上の非線形慣性波の特性の研究2021

    • Author(s)
      阿部 哲弥, 服部裕司
    • Organizer
      日本流体力学会年会2021
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] アジョイント法を用いた空力騒音低減のための形状最適化の数値シミュレーション2021

    • Author(s)
      嶋_ 渉, 服部裕司
    • Organizer
      第35回数値流体力学シンポジウム
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Ranque-Hilschボルテックスチューブに生じる流れの直接数値シミュレーション2021

    • Author(s)
      山本 泰平, 服部裕司
    • Organizer
      第35回数値流体力学シンポジウム
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] Stokes 方程式に対するBMO における熱方程式の初期値問題の最大正則性2020

    • Author(s)
      小川卓克
    • Organizer
      東北大学応用数理解析セミナー
    • Related Report
      2020 Annual Research Report
  • [Presentation] 半空間における熱方程式の初期値境界値問題に対する端点最大正則性について2020

    • Author(s)
      小川卓克
    • Organizer
      東京理科大総合研究院数理解析連携研究部門講演会
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] End-point maximal regularity for the Stokes system in the half space and its application to the Naver-Stokes system2020

    • Author(s)
      T.Ogawa
    • Organizer
      北京大学解析学セミナー(on line)
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 2 次元Keller-Segel 系の移流拡散方程式系への零緩和時間極限について2020

    • Author(s)
      小川卓克・黒木場正城
    • Organizer
      日本数学会令和3 年度年会函数方程式論分科会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 端点最大正則性と臨界型非線型問題2020

    • Author(s)
      小川卓克
    • Organizer
      東北大学 理学部 数学教室 大談話会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 端点最大正則性と臨界型非線型問題2020

    • Author(s)
      小川卓克
    • Organizer
      北九州における偏微分方程式研究集会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 放物型方程式の初期値境界値問題の端点最大正則性について2020

    • Author(s)
      小川卓克
    • Organizer
      大阪大学 微分方程式セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Boundary value problem for 2D nonlinear Schr_dinger equations2020

    • Author(s)
      林 仲夫
    • Organizer
      Workshop on Analysis in Kagurazaka 2020
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Dissipative structure for system of magnetohydrodynamics with Hall effect2020

    • Author(s)
      川島秀一
    • Organizer
      北九州地区における偏微分方程式研究集会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Sharp Hardy-Leray inequalities for curl-free vector fields2020

    • Author(s)
      高橋太
    • Organizer
      Critical exponent and Nonlinear Evolution Equations 2020
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] On 1d nonlinear Schr_dinger equation with an attractive delta potential2020

    • Author(s)
      瀬片 純市
    • Organizer
      北九州地区における偏微分方程式研究集会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Asymptotic behavior in time of solution to the nonlinear Schr_dinger equation with higher order anisotropic dispersion2020

    • Author(s)
      瀬片 純市
    • Organizer
      Critical exponent and nonlinear evolution equations 2020
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] On 1d nonlinear Schr_dinger equation with an attractive delta potential2020

    • Author(s)
      瀬片 純市
    • Organizer
      反応拡散方程式と非線形分散型方程式の解の挙動
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Sobolev 型不等式が満たす非線形スケール不変性2020

    • Author(s)
      猪奥倫左
    • Organizer
      Workshop on Analysis in Kagurazaka 2020
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 自己アフィン関数のフラクタル次元2020

    • Author(s)
      猪奥倫左,横山尚代
    • Organizer
      日本数学会中四国支部会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Solvability of a semilinear heat equation via a quasi scale invariance2020

    • Author(s)
      猪奥倫左,藤島 陽平
    • Organizer
      Variational analysis on critical problems of nonlinear partial differential equations
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Curvature Instability2020

    • Author(s)
      Y Hattori
    • Organizer
      Workshop At the Start of Third Round In honor of Professor Yasuhide Fukumoto on his sixtieth birthday
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 非線型発展方程式の臨界正則性と特異極限2019

    • Author(s)
      小川卓克
    • Organizer
      日本数学会 秋季総合分科会 総合講演
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Maximal regularity for the Cauchy problem of the heat equation in BMO2019

    • Author(s)
      T.Ogawa
    • Organizer
      Lorraine-Tohoku workshop in Mathematics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Singular limit problem for the Keller-Segel equation to the drift-diffusion system in a critical setting2019

    • Author(s)
      T.Ogawa
    • Organizer
      Chemotaxis and Nonlinear Parabolic Equations
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] BMOにおける熱方程式の初期値問題の最大正則性と最適初期トレース評価2019

    • Author(s)
      小川卓克
    • Organizer
      九州工業大学・数理セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 2次元Keller-Segel 系の移流拡散方程式への臨界空間における特異極限2019

    • Author(s)
      小川卓克
    • Organizer
      室蘭工業大学 応用解析セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Maximal regularity for the Cauchy problem of the Stokes equation in bounded mean oscillation2019

    • Author(s)
      小川卓克
    • Organizer
      神楽坂解析セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] End-point maximal regularity for the parabolic evolution equations2019

    • Author(s)
      小川卓克
    • Organizer
      京都大学 RIMS 共同研究(公開型)「発展方程式の進展開: 数理理論と現象解析の協働」
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 放物型方程式の最大正則性とその応用2019

    • Author(s)
      小川卓克
    • Organizer
      東京理科大 研究教育機構 連続講演会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Keller-Segel方程式の移流拡散方程式への特異極限について2019

    • Author(s)
      小川卓克
    • Organizer
      熊本大学 理学部数学教室談話会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 京都大学数理解析研究所 共同研究(公開型)「関数空間論とその周辺」2019

    • Author(s)
      小川卓克
    • Organizer
      放物型発展方程式の端点最大正則性と応用 I, II, 111
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Inhomogeneous Dirichlet-boundary value problem for nonlinear Schr_dinger equations with a power nonlinearity on the upper half-plane2019

    • Author(s)
      林 仲夫
    • Organizer
      非線型の諸問題,
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Global existence and scattering problem for nonlinear Schr_dinger equations2019

    • Author(s)
      N. Hayashi
    • Organizer
      Pekin University PDE seminar
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Inhomogeneous Dirichlet boundary value problem for nonlinear Schr_dinger equations2019

    • Author(s)
      N. Hayashi
    • Organizer
      The 17th Linear and Nonlinear Waves
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Cubic nonlinear Schr_dinger equations, Global existence2019

    • Author(s)
      N. Hayashi
    • Organizer
      Beijing Capital University, PDE seminar
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Cubic nonlinear Schr_dinger equations, Scattering problem2019

    • Author(s)
      N. Hayashi
    • Organizer
      Chinese Academy of Sciences, PDE seminar
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Cubic Complex Heat Equations2019

    • Author(s)
      N. Hayashi
    • Organizer
      Bejing Chemical Technology, PDE seminar
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Cubic Complex Heat Equations2019

    • Author(s)
      林 仲夫
    • Organizer
      早稲田大学応用解析研究会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Cubic nonlinear Schr_dinger equations2019

    • Author(s)
      林 仲夫
    • Organizer
      第8回中央大学偏微分方程式セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] A model system of complex fluids and hyperbolic balance laws2019

    • Author(s)
      S.Kawashima
    • Organizer
      International Conference on Modeling, Computations, Theoretical Analysis on Fluid Dynamics and Related Problems
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 有界変動関数空間におけるソボレフ最良定数関数の正則性2019

    • Author(s)
      高橋太
    • Organizer
      室蘭工業大学2019年度第1回数理科学談話会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 有界変動関数空間におけるソボレフ最良定数関数の正則性2019

    • Author(s)
      高橋太
    • Organizer
      東北大学理学部数学科談話会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Sharp Hardy-Leray inequalities for curl-free vector fields2019

    • Author(s)
      F. Takahashi
    • Organizer
      11th Brazilian-Italian Workshop on Nonlinear Differential Equations
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Sharp Hardy-Leray inequalities for curl-free vector fields2019

    • Author(s)
      F. Takahashi
    • Organizer
      IMPAN (Institute of Mathematics Polish Academy of Science) Simons semester
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Asymptotic behavior in time of solutions to complex valued nonlinear Klein-Gordon equation2019

    • Author(s)
      瀬片 純市
    • Organizer
      京都大学NLPDEセミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Modified scattering for the complex valued nonlinear Klein-Gordon equation2019

    • Author(s)
      瀬片 純市
    • Organizer
      Fundamental Problems in Mathematical and Theoretical Physics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Modified scattering for the complex valued nonlinear Klein-Gordon equation2019

    • Author(s)
      瀬片 純市
    • Organizer
      Workshop on nonlinear wave equations and related topics in Kobe
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Modified scattering for the complex valued nonlinear Klein-Gordon equation2019

    • Author(s)
      瀬片 純市
    • Organizer
      Colloquia at Department of Mathematics and Statistics
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Self-similar solutions for compressible Navier-Stokes equations2019

    • Author(s)
      岩渕 司
    • Organizer
      NLPDEセミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Several properties of Besov spaces with Dirichlet boundary condition2019

    • Author(s)
      T.Iwabuchi
    • Organizer
      国際会議 Harmonic Analysis and Nonlinear Partial Differential Equations
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Self-similar solutions for compressible Navier-Stokes equations2019

    • Author(s)
      岩渕 司
    • Organizer
      Critical exponent and nonlinear evolution equations 2020,
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] DirichletおよびNeumann Laplacianに付随するSobolev空間における積の評価式2019

    • Author(s)
      岩渕 司
    • Organizer
      日本数学会
    • Related Report
      2019 Annual Research Report
  • [Presentation] Attainability of the best Sobolev constant in a ball2019

    • Author(s)
      猪奥倫左
    • Organizer
      VI Italian-Japanese Workshop
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Attainability of the best Sobolev constant in a ball2019

    • Author(s)
      猪奥倫左
    • Organizer
      愛媛大学解析セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Attainability of the best Sobolev constant in a ball2019

    • Author(s)
      猪奥倫左
    • Organizer
      半田山微分方程式セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Solvability of a semilinear heat equation via a quasi scale invariance2019

    • Author(s)
      猪奥倫左
    • Organizer
      東北大学応用数理解析セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 凝スケール不変性を用いた半線型熱方程式の可解性について2019

    • Author(s)
      猪奥倫左
    • Organizer
      京都大学NLPDEセミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Attainability of the best Sobolev constant in a ball2019

    • Author(s)
      猪奥倫左
    • Organizer
      実解析学シンポジウム
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Canceling effects in higher-order Hardy-Sobolev inequalities2019

    • Author(s)
      猪奥倫左
    • Organizer
      実解析学シンポジウム
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 凝スケール不変性を用いた半線型熱方程式の大域可解性について2019

    • Author(s)
      猪奥倫左
    • Organizer
      数理物理と微分方程式
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Attainability of the best Sobolev constant in a ball2019

    • Author(s)
      猪奥倫左
    • Organizer
      早稲田大 応用解析研究会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Attainability of the best Sobolev constant in a ball2019

    • Author(s)
      猪奥倫左
    • Organizer
      弘前非線形方程式研究会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Attainability of the best Sobolev constant in a ball」2019

    • Author(s)
      猪奥倫左
    • Organizer
      京都大 Geometry and Analysis
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Solvability of a semilinear heat equation via a quasi scale invariance2019

    • Author(s)
      猪奥倫左
    • Organizer
      2019 Taiwan Mathematical Society Annual Meeting
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Attainability of the best Sobolev constant in a ball2019

    • Author(s)
      猪奥倫左
    • Organizer
      第13回実解析と函数解析による偏微分方程式論
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] nisotropic Effects on Stability of Periodic Array of Vortices2019

    • Author(s)
      Y Hattori
    • Organizer
      IUTAM Symposium on Vortex dynamics in science, nature and technology
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Turbulence Modeling using Artificial Neural Network2019

    • Author(s)
      Y Hattori
    • Organizer
      17th European Turbulence Conference (ETC2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 不安定密度成層せん断流における鉛直渦度発生の数値シミュレーション2019

    • Author(s)
      高橋翠、廣田真、服部裕司
    • Organizer
      日本流体力学会年会2019
    • Related Report
      2019 Annual Research Report
  • [Presentation] 成層流中の渦列の不安定化過程2019

    • Author(s)
      服部裕司、廣田真
    • Organizer
      日本流体力学会年会2019
    • Related Report
      2019 Annual Research Report
  • [Presentation] 多孔質材を用いた空力騒音低減のメカニズムと効果的な貼り付け手法に関する研究2019

    • Author(s)
      佐藤 泰紀、服部裕司
    • Organizer
      第33回数値流体力学シンポジウム
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Nonlinear dynamics of destabilized array of vortices in stratified fluid2019

    • Author(s)
      Yuji Hattori, Makoto Hirota
    • Organizer
      72nd Annual Meeting of the APS Division of Fluid Dynamics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] Asymptotic Analysis for Nonlinear Dispersive and Wave Equations2019

    • Author(s)
      K. Kato, T. Ogawa, K. Ozawa eds.
    • Total Pages
      401
    • Publisher
      Math. Soc. Japan
    • Related Report
      2019 Annual Research Report
  • [Remarks] 臨界型非線形数理モデルにおける高次数理解析法の創造

    • URL

      http://web.tohoku.ac.jp/ogawa/index.html

    • Related Report
      2022 Annual Research Report 2019 Annual Research Report
  • [Remarks] 臨界型非線型数理モデルにおける高次数理解析法の創造

    • URL

      http://web.tohoku.ac.jp/ogawa/index.html

    • Related Report
      2021 Annual Research Report
  • [Remarks] 科学研究費補助金 基盤S 臨界型非線型数理モデルにおける高次数理解析法の創造

    • URL

      http://web.tohoku.ac.jp/ogawa/index.html

    • Related Report
      2020 Annual Research Report
  • [Funded Workshop] Regularity and Singularity for Geometric PDE and related topics2024

    • Related Report
      2022 Annual Research Report
  • [Funded Workshop] Critical Phenomena in Nonlinear Partial Differential Equations, Harmonic Analysis, and Functional Inequalities2023

    • Related Report
      2022 Annual Research Report
  • [Funded Workshop] Chemotaxis and Nonlinear Parabolic Equations2019

    • Related Report
      2019 Annual Research Report

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Published: 2019-06-27   Modified: 2024-12-25  

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