• Search Research Projects
  • Search Researchers
  • How to Use
  1. Back to previous page

Motion of curves and surfaces by curvature : numerical altorithm, regularity and singularity

Research Project

Project/Area Number 17K05364
Research Category

Grant-in-Aid for Scientific Research (C)

Allocation TypeMulti-year Fund
Section一般
Research Field Foundations of mathematics/Applied mathematics
Research InstitutionKobe University

Principal Investigator

Ishii Katsuyuki  神戸大学, 海事科学研究科, 教授 (40232227)

Co-Investigator(Kenkyū-buntansha) 高坂 良史  神戸大学, 海事科学研究科, 准教授 (00360967)
内藤 雄基  愛媛大学, 理工学研究科(理学系), 教授 (10231458)
上田 好寛  神戸大学, 海事科学研究科, 准教授 (50534856)
Project Period (FY) 2017-04-01 – 2021-03-31
Project Status Completed (Fiscal Year 2020)
Budget Amount *help
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2019: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2018: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Fiscal Year 2017: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
Keywords平均曲率流 / 閾値型近似アルゴリズム / Willmore 流 / 正則性 / 特異性 / 曲率流 / 近似アルゴリズム / 表面拡散流 / 表面拡散方程式 / 非線形放物型方程式 / 非線形楕円型方程式 / 双曲型方程式系 / 近似問題 / 平均曲率一定曲面
Outline of Final Research Achievements

The threshold-type algorithm to mean curvature flow has been studied during this project. We show that the approximate equation which is used to this algorithm can be naturally derived from the mean curvature flow equation and obtain the optimal error estimate. We understand by these results that the threshold-type algorithm is natural to approximate the mean curvature flow. We have worked on the threshold-type algorithm for Willmore flow. We develop the formal asymptotic expansion of solutions of the fourth-order heat equation with respect to the time variable and define a threshold in a suitable way. Then we foramlly show that our algorithm approximates Willmore flow. Now we are studying how to prove the convergence of our algorithm rigorously.

Academic Significance and Societal Importance of the Research Achievements

平均曲率流は数学的興味だけでなく、物性物理、画像処理、ネットワーク上の現象への応用も盛んに研究されている。これらの応用では平均曲率流の数値計算は欠かせない道具である。本研究課題の成果は閾値型近似アルゴリズムが平均曲率流の数値計算法として自然でほ正当なものであること、近似方程式は元の曲率流方程式から比較的容易に構成できることをを保証する。実際の数値計算に関しても理論上の最良な精度を保証している。Willmore 流への閾値型近似アルゴリズムについてはまだ研究途上であるが、高階偏微分方程式で記述される曲線・曲面の運動への応用として学術的に興味深い研究になると思われる。

Report

(5 results)
  • 2020 Annual Research Report   Final Research Report ( PDF )
  • 2019 Research-status Report
  • 2018 Research-status Report
  • 2017 Research-status Report
  • Research Products

    (92 results)

All 2020 2019 2018 2017 Other

All Int'l Joint Research (3 results) Journal Article (23 results) (of which Int'l Joint Research: 10 results,  Peer Reviewed: 22 results,  Open Access: 6 results) Presentation (66 results) (of which Int'l Joint Research: 29 results,  Invited: 49 results)

  • [Int'l Joint Research] University of Zagreb(クロアチア)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Hanbat National University(韓国)

    • Related Report
      2018 Research-status Report
  • [Int'l Joint Research] Hanbat National University(韓国)

    • Related Report
      2017 Research-status Report
  • [Journal Article] Convergence of a threshold-type algorithm for curvature-dependent motions of hypersurfaces2020

    • Author(s)
      Ishii Katsuyuki
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 85 Pages: 181-191

    • DOI

      10.2969/aspm/08510181

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A note on traveling waves for area-preserving geometric flows2020

    • Author(s)
      Kagaya Takashi、Kohsaka Yoshihito
    • Journal Title

      Advanced Studies in Pure Mathematics

      Volume: 85 Pages: 227-238

    • DOI

      10.2969/aspm/08510227

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Decay structures for the equations of Porous elasticity in one-dimensional whole space2020

    • Author(s)
      Ramon Quintanilla, Yoshihiro Ueda
    • Journal Title

      Journal of Dynamics and Differential Equations

      Volume: 32 Issue: 4 Pages: 1669-1685

    • DOI

      10.1007/s10884-019-09767-w

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Synchronization of Kuramoto oscillators with time-delayed interactions and phase lag effect2020

    • Author(s)
      Chun-Hsiung Hsia, Chang-Yeol Jung, Bongsuk Kwon, Yoshihiro Ueda
    • Journal Title

      Journal of Differential Equations

      Volume: 268 Issue: 12 Pages: 7897-7939

    • DOI

      10.1016/j.jde.2019.11.090

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] The Cauchy problem for thermoelastic plates with two temperatures2020

    • Author(s)
      Reinhard Racke, Yoshihiro Ueda
    • Journal Title

      Zeitschrift fur Analysis und ihre Anwendungen

      Volume: 39 Issue: 1 Pages: 103-129

    • DOI

      10.4171/zaa/1653

    • Related Report
      2020 Annual Research Report 2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Decay estimate and asymptotic profile for a plate equation with memory2020

    • Author(s)
      Yongqin Liu; Yoshihiro Ueda
    • Journal Title

      Journal of Differential Equations

      Volume: 268 Issue: 5 Pages: 2435-2463

    • DOI

      10.1016/j.jde.2019.09.007

    • Related Report
      2020 Annual Research Report 2019 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Asymptotically self-similar behaviour of global solutions for semilinear heat equations with algebraically decaying initial data2020

    • Author(s)
      Naito Yuki
    • Journal Title

      Proceedings of the Royal Society of Edinburgh: Section A Mathematics

      Volume: 150 Issue: 2 Pages: 789-811

    • DOI

      10.1017/prm.2018.97

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Existence of non-convex traveling Waves for surface diffusion of curves with constant contact angles2019

    • Author(s)
      Takashi Kagaya, Yoshihito Kohsaka
    • Journal Title

      Archive for Rational Mechanics and Analysis

      Volume: 235 Issue: 1 Pages: 471-516

    • DOI

      10.1007/s00205-019-01426-0

    • Related Report
      2019 Research-status Report
    • Peer Reviewed
  • [Journal Article] Existence of peaking solutions for semilinear heat equations with blow-up profile above the singular steady state2019

    • Author(s)
      Naito Yuki、Senba Takasi
    • Journal Title

      Nonlinear Analysis

      Volume: 181 Pages: 265-293

    • DOI

      10.1016/j.na.2018.12.001

    • Related Report
      2019 Research-status Report 2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Remarks on the convergence of an algorithm for curvature-dependent motions of hypersurfaces2018

    • Author(s)
      Katsuyuki Ishii and Takahiro Izumi
    • Journal Title

      Discrete Continuous Dynamical Systems - A

      Volume: 38 Issue: 3 Pages: 1103-1125

    • DOI

      10.3934/dcds.2018046

    • Related Report
      2018 Research-status Report 2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Rectifiable and nonrectifiable solution curves of half-linear differential systems2018

    • Author(s)
      Yuki Naito, Mervan Pasic, Satoshi Tanaka
    • Journal Title

      Math. Slovaca

      Volume: 68 Issue: 3 Pages: 575-590

    • DOI

      10.1515/ms-2017-0126

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Separation structure of radial solutions for semilinear elliptic equations with exponential nonlinearity2018

    • Author(s)
      Soohyun Bae and Yuki Naito
    • Journal Title

      Discrete Contin. Dyn. Syst.

      Volume: 38 Issue: 9 Pages: 4537-4554

    • DOI

      10.3934/dcds.2018198

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Singular extremal soluitons for supercritical elliptic equations in a ball2018

    • Author(s)
      Yasuhito Miyamoto and Yuki Naito
    • Journal Title

      J. Differential Equations

      Volume: 265 Issue: 7 Pages: 2842-2885

    • DOI

      10.1016/j.jde.2018.04.055

    • Related Report
      2018 Research-status Report
    • Peer Reviewed
  • [Journal Article] Stability of axisymmetric CMC surfaces as steady states for the evolution by surface diffusion2018

    • Author(s)
      Kohsaka Yoshihito
    • Journal Title

      Journal of Physics: Conference Series

      Volume: 1141 Pages: 012003-012003

    • DOI

      10.1088/1742-6596/1141/1/012003

    • Related Report
      2018 Research-status Report
    • Open Access
  • [Journal Article] New Stability Criterion for the Dissipative Linear System and Analysis of Bresse System2018

    • Author(s)
      Ueda Yoshihiro
    • Journal Title

      Symmetry

      Volume: 10 Issue: 11 Pages: 542-542

    • DOI

      10.3390/sym10110542

    • NAID

      120006543337

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Asymptotic stability of traveling wave solutions for nonlocal viscous conservation laws with explicit decay rates2018

    • Author(s)
      Achleitner Franz、Ueda Yoshihiro
    • Journal Title

      Journal of Evolution Equations

      Volume: 18 Issue: 2 Pages: 923-946

    • DOI

      10.1007/s00028-018-0426-6

    • NAID

      120006489897

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] New structural conditions on decay property with regularity-loss for symmetric hyperbolic systems with non-symmetric relaxation2018

    • Author(s)
      Ueda Yoshihiro、Duan Renjun、Kawashima Shuichi
    • Journal Title

      Journal of Hyperbolic Differential Equations

      Volume: 15 Issue: 01 Pages: 149-174

    • DOI

      10.1142/s0219891618500066

    • Related Report
      2018 Research-status Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Optimal decay estimates of a regularity-loss type system with constraint condition2018

    • Author(s)
      Ueda Yoshihiro
    • Journal Title

      Journal of Differential Equations

      Volume: 264 Issue: 2 Pages: 679-701

    • DOI

      10.1016/j.jde.2017.09.020

    • Related Report
      2018 Research-status Report 2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Remarks on Viscosity Solutions for Mean Curvature Flow with Obstacles2017

    • Author(s)
      Ishii K.、Kamata H.、Koike S.
    • Journal Title

      Mathematics for Nonlinear Phenomena: Analysis and Computation

      Volume: 215 Pages: 83-103

    • DOI

      10.1007/978-3-319-66764-5_5

    • ISBN
      9783319667621, 9783319667645
    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] A priori bounds for superlinear elliptic equations with semidefinite nonlinearity2017

    • Author(s)
      Yuki Naito, Takashi Suzuki, Yohei Toyota
    • Journal Title

      Nonlinear Anal.

      Volume: 151 Pages: 18-40

    • DOI

      10.1016/j.na.2016.11.016

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Open Access
  • [Journal Article] On the criteria for the stability of unduloids2017

    • Author(s)
      Yoshihito Kohsaka
    • Journal Title

      京都大学数理解析研究所 講究録 別冊

      Volume: B63 Pages: 169-194

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Journal Article] Nonlinear thermoelastic plate equations ? Global existence and decay rates for the Cauchy problem2017

    • Author(s)
      Racke Reinhard and Ueda Yoshihiro
    • Journal Title

      Journal of Differential Equations

      Volume: 263 Issue: 12 Pages: 8138-8177

    • DOI

      10.1016/j.jde.2017.08.036

    • Related Report
      2017 Research-status Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Asymptotic profile of solutions for the damped wave equation with a nonlinear convection term2017

    • Author(s)
      Kato Masakazu and Ueda Yoshihiro
    • Journal Title

      Mathematical Methods in the Applied Sciences

      Volume: 40 Issue: 18 Pages: 7760-7779

    • DOI

      10.1002/mma.4561

    • Related Report
      2017 Research-status Report
    • Peer Reviewed
  • [Presentation] Stability of steady states for geometric evolution equations2020

    • Author(s)
      高坂良史
    • Organizer
      第45回偏微分方程式論札幌シンポジウム
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 時間遅れを考慮に入れたBurgers方程式の時間大域解について2020

    • Author(s)
      久保隆徹,上田好寛
    • Organizer
      日本数学会2020年度年会
    • Related Report
      2020 Annual Research Report
  • [Presentation] 時間遅れを考慮に入れたBurgers方程式の時間大域解について2020

    • Author(s)
      久保隆徹,上田好寛
    • Organizer
      日本応用数理学会2020年度年会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Stability of the steady states for evolving surfaces by surface diffusion2020

    • Author(s)
      高坂良史
    • Organizer
      Mini-symposium Nonlinear Geometric Partial Differential Equations
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 時間遅れを考慮に入れたBurgers 方程式の時間大域解について2020

    • Author(s)
      久保隆徹,上田好寛
    • Organizer
      日本数学会 2020 年度年会
    • Related Report
      2019 Research-status Report
  • [Presentation] On the traveling waves for surface diffusion of curves with constant contact angles2019

    • Author(s)
      高坂良史
    • Organizer
      楕円型・放物型微分方程式研究集会
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] 接触角境界条件をもつ表面拡散方程式に対する進行波解について2019

    • Author(s)
      高坂良史
    • Organizer
      第 31 回さいたま数理解析セミナー
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] Characterization of the decay structure for a dissipative linear system and application to the Cauchy problem in thermoelasticity2019

    • Author(s)
      Yoshihiro Ueda
    • Organizer
      Workshop on Partial Differential Equations
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Stability analysis for the system of linear differential equations2019

    • Author(s)
      Yoshihiro Ueda
    • Organizer
      The 44th Sapporo Symposium on Partial Differential Equations
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Characterization of the decay structure for the symmetric hyperbolic system with relaxation2019

    • Author(s)
      Yoshihiro Ueda
    • Organizer
      Laboratorio Nacional de Computacao Cientca
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 消散構造を持つ微分方程式系の安定性解析2019

    • Author(s)
      上田好寛
    • Organizer
      三重偏微分方程式研究集会~西原健二先生の古希を記念して~
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] Dissipative structure for the symmetric hyperbolic system with relaxation in whole space2019

    • Author(s)
      Yoshihiro Ueda
    • Organizer
      The 7th China-Japan Workshop on Mathematical Topics from Fluid Mechanics
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Incomplete blow-up of solutions for semilinear heat equations with supercritical nonlinearity2019

    • Author(s)
      内藤 雄基
    • Organizer
      信州大学偏微分方程式研究集会
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] Threshold solutions for semilinear heat equations with polynomial decay initial data2019

    • Author(s)
      Yuki Naito
    • Organizer
      Equadiff 2019
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research
  • [Presentation] 特異定常解より大きい爆発形状を持つ不完全爆発解の存在について2019

    • Author(s)
      内藤 雄基、仙葉 隆
    • Organizer
      日本数学会 函数方程式分科会一般講演
    • Related Report
      2019 Research-status Report
  • [Presentation] Threshold solutions for semilinear heat equations with slowly decaying initial data2019

    • Author(s)
      Yuki Naito
    • Organizer
      2019 International Workshop on Nonlinear PDEs and Its Application
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Blow-up criteria for the simplest Keller-Segel model of chemotaxis in higher dimensions2019

    • Author(s)
      Yuki Naito
    • Organizer
      Chemotaxis and Nonlinear Parabolic Equations, -In honor of Professor Takasi Senba on his 60th birthday-
    • Related Report
      2019 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Blow-up criteria for the parabolic-elliptic Keller-Segel system in higher dimensions2019

    • Author(s)
      内藤 雄基
    • Organizer
      研究集会「数学と現象:Mathematics and Phenomena in Miyazaki 2019
    • Related Report
      2019 Research-status Report
    • Invited
  • [Presentation] 空間曲線に対する曲率流の近似問題について2019

    • Author(s)
      石井 克幸
    • Organizer
      第 8 回北海道・東北コンソーシアムセミナー
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Existence and uniqueness of singular solutions for supercritical semilinear elliptic equations2019

    • Author(s)
      内藤 雄基
    • Organizer
      RIMS 共同研究(グループ型) 「常微分方程式の手法による非線形問題の探究」
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 消散構造を持つ微分方程式系の安定性解析2019

    • Author(s)
      上田 好寛
    • Organizer
      若手による流体力学の基礎方程式研究集会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Characterization of the decay structure for a dissipative linear system2019

    • Author(s)
      Yoshihiro Ueda
    • Organizer
      Himeji Conference on Partial Differential Equations
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 平均曲率流の近似問題について2018

    • Author(s)
      石井 克幸
    • Organizer
      九州関数方程式セミナー
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Convergence of a threshold-type algorithm for mean curvature flow2018

    • Author(s)
      Katsuyuki Ishii
    • Organizer
      12th AIMS on Dynamical Systems, Differential Equations and Applications
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Convergence of a threshold-type algorithm for mean curvature flow2018

    • Author(s)
      Katsuyuki Ishii
    • Organizer
      The 11th Mathematical Society of Japan (MSJ) Seasonal Institute (SI) The Role of Metrics in the Theory of Partial Differential Equations
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Convergence of a threshold-type algorithm to curvature-dependent motions2018

    • Author(s)
      Katsuyuki Ishii
    • Organizer
      Viscosity solutions and Related Topics
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 平均曲率流に対する閾値型近似アルゴリズムの収束について2018

    • Author(s)
      石井 克幸
    • Organizer
      楕円型・放物型微分方程式研究集会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 平均曲率流に対する閾値型近似問題について2018

    • Author(s)
      石井 克幸
    • Organizer
      応用 数学勉強会 2018
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Asymptotic behavior of global solutions for semilinear heat equations with slowly decaying initial data2018

    • Author(s)
      内藤 雄基
    • Organizer
      RIMS共同研究(公開型) 「保存則をもつ偏微分方程式の解の正則性,特異性および漸近挙動の研究」
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 非線形熱方程式の不完全爆発解の存在について2018

    • Author(s)
      内藤 雄基
    • Organizer
      九州関数方程式セミナー
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] An ODE approach to backward self-similar solutions for semilinear heat equations2018

    • Author(s)
      Yuki Naito
    • Organizer
      NTHU Department of Mathematics Visiting Scholar Colloquium
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Positive singular solutions for semilinear elliptic equationswith supercritical nonlinearity2018

    • Author(s)
      Yuki Naito
    • Organizer
      The 12Th AIMS conference
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Incomplete blow-up solutions for semilinear heat equations with supercritical nonlinearity2018

    • Author(s)
      Yuki Naito
    • Organizer
      The 12Th AIMS conference
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Singular sextremal solutions for supercritical elliptic equations in a ball2018

    • Author(s)
      宮本 安人、内藤 雄基
    • Organizer
      日本数学会秋期総合分科会
    • Related Report
      2018 Research-status Report
  • [Presentation] Incomplete blow-up of solutions for semilinear heat equations with supercritical nonlinearity2018

    • Author(s)
      内藤 雄基
    • Organizer
      名古屋微分方程式セミナー
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 体積保存型幾何学発展方程式の解の挙動について2018

    • Author(s)
      高坂 良史
    • Organizer
      東京工業大学談話会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] On the dynamics for the volume-preserving geometric flows2018

    • Author(s)
      高坂 良史
    • Organizer
      The 11th MSJ-SI: The Role of Metrics in the Theory of Partial Differential Equations
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Stability of axisymmetric CMC surfaces as the steady states for the surface diffusion equation2018

    • Author(s)
      高坂 良史
    • Organizer
      The 7th International Conference on Mathematical Modeling in Physical Sciences
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] On traveling waves for area-preserving geometric flows2018

    • Author(s)
      高坂 良史
    • Organizer
      第 16 回浜松偏微分方程式研究集会
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Characterization of the dissipative structure for the symmetric hyperbolic system with non-symmetric relaxation2018

    • Author(s)
      Yoshihiro Ueda
    • Organizer
      Ito Workshop on Partial Differential Equations
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Stability analysis for a general system of linear differential equations with discrete delays2018

    • Author(s)
      上田 好寛
    • Organizer
      日本数学会 2018 年度秋季総合分科会
    • Related Report
      2018 Research-status Report
  • [Presentation] Dissipative structures for thermoelastic plate equations with Cattaneo's law2018

    • Author(s)
      上田 好寛
    • Organizer
      日本数学会 2018 年度秋季総合分科会
    • Related Report
      2018 Research-status Report
  • [Presentation] Optimal decay estimates of a regularity-loss type system with constraint2018

    • Author(s)
      上田 好寛
    • Organizer
      日本数学会 2018 年度秋季総合分科会
    • Related Report
      2018 Research-status Report
  • [Presentation] New structural condition on decay property for symmetric hyperbolic system with relaxation2018

    • Author(s)
      上田 好寛
    • Organizer
      日本数学会 2018 年度秋季総合分科会
    • Related Report
      2018 Research-status Report
  • [Presentation] New stability criterion for the dissipative linear system2018

    • Author(s)
      上田 好寛
    • Organizer
      日本数学会 2018 年度秋季総合分科会
    • Related Report
      2018 Research-status Report
  • [Presentation] 時間遅れを考慮した微分方程式系の安定性解析2018

    • Author(s)
      上田 好寛
    • Organizer
      2018 軽井沢グラフと解析研究集会 II
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Stability criterion for a system of delay-differential equations2018

    • Author(s)
      上田 好寛
    • Organizer
      常微分方程式の定性的理論および数理モデル研究への応用
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] Analysis of the dissipative structure for the symmetric hyperbolic system with non-symmetric relaxation2018

    • Author(s)
      Yoshihiro Ueda
    • Organizer
      Waseda Workshop on Partial Differential Equations
    • Related Report
      2018 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Characterization of the dissipative structure for the symmetric hyperbolic system with non-symmetric relaxation2018

    • Author(s)
      Yoshihiro Ueda
    • Organizer
      微分方程式の総合的研究
    • Related Report
      2018 Research-status Report
    • Invited
  • [Presentation] 空間曲線に対する曲率流の近似問題について2018

    • Author(s)
      石井 克幸
    • Organizer
      第 8 回北海道・東北コンソーシアムセミナー
    • Related Report
      2017 Research-status Report
  • [Presentation] ingular extremal solutions for supercritical elliptic equations in a ball2018

    • Author(s)
      内藤雄基
    • Organizer
      HMAセミナー・冬の研究会 2018
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] A shooting approach to backward self-similar solutions for semilinear heat equations2018

    • Author(s)
      内藤雄基
    • Organizer
      RIMS共同研究(グループ型)「非線形問題への常微分方程式の手法によるアプローチ」
    • Related Report
      2017 Research-status Report
  • [Presentation] Asymptotic behavior of global solutions for semilinear heat equations with slowly decaying initial data2018

    • Author(s)
      内藤雄基
    • Organizer
      日本数学会2018年度年会 関数方程式分科会
    • Related Report
      2017 Research-status Report
  • [Presentation] 体積保存性型幾何学的発展方程式の解の挙動について2018

    • Author(s)
      高坂良史
    • Organizer
      明治非線型数理セミナーone day workshop
    • Related Report
      2017 Research-status Report
    • Invited
  • [Presentation] Recent progress in the stability analysis for the hyperbolic system with relaxation2018

    • Author(s)
      Yoshihro Ueda
    • Organizer
      第35回九州における偏微分方程式研究集会
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] 空間曲線に対する曲率流の近似問題について2017

    • Author(s)
      石井 克幸
    • Organizer
      第 7 回北海道・東北コンソーシアムセミナー
    • Related Report
      2017 Research-status Report
  • [Presentation] Singular sextremal solutions for supercritical elliptic equations in a ball2017

    • Author(s)
      Yuki Naito
    • Organizer
      Equadiff2017
    • Related Report
      2017 Research-status Report
  • [Presentation] Asymptotic behavior of global solutions for semilinear heat equations with slowly decaying initial data2017

    • Author(s)
      内藤 雄基
    • Organizer
      愛媛大学における微分方程式セミナー
    • Related Report
      2017 Research-status Report
  • [Presentation] Asymptotically self-similar behavior of global solutions to semilinear heat equations2017

    • Author(s)
      Yuki Naito
    • Organizer
      非線形偏微分方程式の定性的理論
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Asymptotically self-similar behavior of global solutions to semilinear heat equations2017

    • Author(s)
      Yuki Naito
    • Organizer
      Nonlinear Analysis, PDEs, and Applications
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Stability and bifurcation diagram of the steady states for the surface diffusion equation2017

    • Author(s)
      Yoshihito Kohsaka
    • Organizer
      Viscosity solution approach to asymptotic problems in front propagation, dynamical system and related topics
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Classification of the dissipative structure for the hyperbolic system with relaxation2017

    • Author(s)
      Yoshihro Ueda
    • Organizer
      Ito Workshop on Partial Differential Equations
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] Recent progress of the dissipative structure for hyperbolic balance laws2017

    • Author(s)
      Yoshihro Ueda
    • Organizer
      2017 NCTS PDE Workshop on Fluid Dynamics and Related Problems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] New stability criterion for the Regularity-loss structure of the dissipative linear system2017

    • Author(s)
      Yoshihro Ueda
    • Organizer
      XVI Workshop on Partial Differential Equations
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] New stability criterion for the dissipative linear system in whole space2017

    • Author(s)
      Yoshihro Ueda
    • Organizer
      Workshop on Hyperbolic and Parabolic Systems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited
  • [Presentation] New stability criterion for the general linear system with regularity-loss structure2017

    • Author(s)
      Yoshihro Ueda
    • Organizer
      2017 Taiwan-Japan Workshop on Dispersion, Navier Stokes, Kinetic, and Inverse Problems
    • Related Report
      2017 Research-status Report
    • Int'l Joint Research / Invited

URL: 

Published: 2017-04-28   Modified: 2022-02-22  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi