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

Construction of Mathematical Theory of 2 phase fluid flows

Research Project

Project/Area Number 17H01097
Research Category

Grant-in-Aid for Scientific Research (A)

Allocation TypeSingle-year Grants
Section一般
Research Field Mathematical analysis
Research InstitutionWaseda University

Principal Investigator

Shibata Yoshihiro  早稲田大学, 理工学術院, 教授 (50114088)

Co-Investigator(Kenkyū-buntansha) 吉村 浩明  早稲田大学, 理工学術院, 教授 (40247234)
舟木 直久  東京大学, 大学院数理科学研究科, 名誉教授 (60112174)
小澤 徹  早稲田大学, 理工学術院, 教授 (70204196)
Project Period (FY) 2017-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥41,210,000 (Direct Cost: ¥31,700,000、Indirect Cost: ¥9,510,000)
Fiscal Year 2021: ¥8,450,000 (Direct Cost: ¥6,500,000、Indirect Cost: ¥1,950,000)
Fiscal Year 2020: ¥8,450,000 (Direct Cost: ¥6,500,000、Indirect Cost: ¥1,950,000)
Fiscal Year 2019: ¥8,450,000 (Direct Cost: ¥6,500,000、Indirect Cost: ¥1,950,000)
Fiscal Year 2018: ¥8,450,000 (Direct Cost: ¥6,500,000、Indirect Cost: ¥1,950,000)
Fiscal Year 2017: ¥7,410,000 (Direct Cost: ¥5,700,000、Indirect Cost: ¥1,710,000)
Keywords流体方程式 / 2相問題 / 変分構造 / 確率偏微分方程式 / R-有界作用素 / 数値シミュレーション / 流体方程式 2相問題 / 確率偏微方程式 / R-有界性 / 最大正則性原理 / 自由境界問題 / 1相問題 / 多層流体 / 非平衡熱力学 / 数値趣味レーション / 数値シュミレーション / 2相問題
Outline of Final Research Achievements

The theory of R-bounded soluion opearator was established and by using this theory we solved the unique existence theorem of free boundary problem of the Navier-Stokes equations.The phase separation phenomenon of interacting particle systems was clarified, and the mean curvature motion, Huygens’ principle,and the Stefan free boundary problem were driven.We investigated cloud cavitation both experimentally and numerically, and clarified the mechanism of shock wave generation.

Academic Significance and Societal Importance of the Research Achievements

工学問題、気象など多くの場面に現れる粘性流体運動の自由境界問題を数学的に厳密に扱うことのできる、R-有界性理論を確立した。またメゾの観点からの考察に重要な役割をなす確率微分方程式の導出を行った。さらに実験と数値解析で工学的に重要な問題であるキャビテーションの引き起こす衝撃はを明らかにした。これらは実解析、確率解析、数値解析、実験の総合的混相流の解明に多くの結果を得たとともに、今後の研究に大いなる指針を与えた。

Report

(6 results)
  • 2022 Final Research Report ( PDF )
  • 2021 Annual Research Report
  • 2020 Annual Research Report
  • 2019 Annual Research Report
  • 2018 Annual Research Report
  • 2017 Annual Research Report
  • Research Products

    (280 results)

All 2023 2022 2021 2020 2019 2018 2017 Other

All Int'l Joint Research (14 results) Journal Article (105 results) (of which Int'l Joint Research: 88 results,  Peer Reviewed: 100 results,  Open Access: 76 results,  Acknowledgement Compliant: 2 results) Presentation (136 results) (of which Int'l Joint Research: 84 results,  Invited: 119 results) Book (6 results) Remarks (10 results) Funded Workshop (9 results)

  • [Int'l Joint Research] サンクトぺテルス大学(ロシア連邦)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] Weierstrauss研究所(ドイツ)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] ワルシャワ大学(ポーランド)

    • Related Report
      2021 Annual Research Report
  • [Int'l Joint Research] Department of Mathematics/University of Pittsburgh(米国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Department of Mathematics/University of Oxford(英国)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Department of Mathematics/University of Warsaw(ポーランド)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Department of Mathematics/Technical University of Darmstadt(ドイツ)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] Steklov Institute of Mathematics(ロシア連邦)

    • Related Report
      2018 Annual Research Report
  • [Int'l Joint Research] ダルムシュタット工科大学/コンスタンツ大学(ドイツ)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] 高等師範学校/パリ・エスト・クレテイユ大学(フランス)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] ワルシャワ大学/ポーランド科学アカデミー(ポーランド)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] ピサ大学/ピサ高等師範学校(イタリア)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research] 全北大学校(韓国)

    • Related Report
      2017 Annual Research Report
  • [Int'l Joint Research]

    • Related Report
      2017 Annual Research Report
  • [Journal Article] Local Well-Posedness for the Magnetohydrodynamics in the Different Two Liquids Case2022

    • Author(s)
      Frolova Elena、Shibata Yoshihiro
    • Journal Title

      Mathematics

      Volume: 10 Issue: 24 Pages: 4751-4751

    • DOI

      10.3390/math10244751

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Small data scattering of 2d Hartree type Dirac equations2022

    • Author(s)
      Cho Yonggeun、Lee Kiyeon、Ozawa Tohru
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 506 Issue: 1 Pages: 125549-125549

    • DOI

      10.1016/j.jmaa.2021.125549

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Zakharov system in two space dimensions2022

    • Author(s)
      Ozawa Tohru、Tomioka Kenta
    • Journal Title

      Nonlinear Analysis

      Volume: 214 Pages: 112532-112532

    • DOI

      10.1016/j.na.2021.112532

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Small Data Scattering of Hartree Type Fractional Schrödinger Equations in a Scaling Critical Space2021

    • Author(s)
      Cho Yonggeun、Ozawa Tohru、Yang Changhun
    • Journal Title

      Funkcialaj Ekvacioj

      Volume: 64 Issue: 1 Pages: 1-15

    • DOI

      10.1619/fesi.64.1

    • NAID

      130008023886

    • ISSN
      0532-8721
    • Year and Date
      2021-04-15
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On local solutions to a free boundary problem for incompressible viscous magnetohydrodynamics in the $L_p$-approach2021

    • Author(s)
      Shibata Yoshihiro、Zajaczkowski Wojciech M.
    • Journal Title

      Dissertationes Mathematicae

      Volume: 266 Pages: 1-102

    • DOI

      10.4064/dm777-787-3-2021

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Local Well-Posedness for Free Boundary Problem of Viscous Incompressible Magnetohydrodynamics2021

    • Author(s)
      Oishi Kenta、Shibata Yoshihiro
    • Journal Title

      Mathematics

      Volume: 9 Issue: 5 Pages: 461-461

    • DOI

      10.3390/math9050461

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] On the Evolution of Compressible and Incompressible Viscous Fluids with a Sharp Interface2021

    • Author(s)
      Kubo Takayuki、Shibata Yoshihiro
    • Journal Title

      Mathematics

      Volume: 9 Issue: 6 Pages: 621-621

    • DOI

      10.3390/math9060621

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] A note on 2D Navier-Stokes equations2021

    • Author(s)
      Fan Jishan、Ozawa Tohru
    • Journal Title

      Partial Differential Equations and Applications

      Volume: 2 Issue: 6 Pages: 73-73

    • DOI

      10.1007/s42985-021-00129-0

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Derivation of coupled KPZ-Burgers equation from multi-species zero-range processes2021

    • Author(s)
      Bernardin C.、Funaki T.、Sethuraman S.
    • Journal Title

      The Annals of Applied Probability

      Volume: 31 Issue: 4 Pages: 1966-2017

    • DOI

      10.1214/20-aap1639

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Asymptotics of PDE in random environment by paracontrolled calculus2021

    • Author(s)
      Funaki Tadahisa、Hoshino Masato、Sethuraman Sunder、Xie Bin
    • Journal Title

      Annales de l'Institut Henri Poincar?, Probabilit?s et Statistiques

      Volume: 57 Issue: 3 Pages: 1702-1735

    • DOI

      10.1214/20-aihp1129

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Stochastic Eight-Vertex Model, its Invariant Measures and KPZ Limit2021

    • Author(s)
      Funaki Tadahisa、Nishijima Yuto、Suda Hayate
    • Journal Title

      Journal of Statistical Physics

      Volume: 184 Issue: 1 Pages: 1-30

    • DOI

      10.1007/s10955-021-02789-z

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dirac Structures and Variational Formulation of Thermodynamics for Open Systems2021

    • Author(s)
      Yoshimura Hiroaki、Francois Gay-Balmaz,
    • Journal Title

      Conference paper

      Volume: 1 Pages: 221-246

    • DOI

      10.1007/978-3-030-77957-3_12

    • ISBN
      9783030779566, 9783030779573
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A port-Dirac formulation for thermodynamics of non-simple systems2021

    • Author(s)
      Yoshimura Hiroaki、Francois Gay-Balmaz,
    • Journal Title

      IFAC-PapersOnLine

      Volume: 54 Issue: 19 Pages: 32-37

    • DOI

      10.1016/j.ifacol.2021.11.051

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A variational perspective on the thermodynamics of non-isothermal reacting open systems2021

    • Author(s)
      Francois Gay-Balmaz,Yoshimura Hiroaki
    • Journal Title

      IFAC-PapersOnLine

      Volume: 54 Issue: 19 Pages: 58-63

    • DOI

      10.1016/j.ifacol.2021.11.055

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Experimental Observations of Lagrangian Coherent Structures and Fluid Transports in Perturbed Rayleigh-B?nard Convection2021

    • Author(s)
      Watanabe Masahito、Yoshimura Hiroaki
    • Journal Title

      IFAC-PapersOnLine

      Volume: 54 Issue: 14 Pages: 448-453

    • DOI

      10.1016/j.ifacol.2021.10.395

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Numerical Investigation of Cloud Cavitation and Its Induced Shock Waves2021

    • Author(s)
      Takahiro Ushioku, Hiroaki Yoshimura
    • Journal Title

      Proc. ASME 2021 Fluids Engineering Division Summer Meeting

      Volume: 3 Pages: 1-9

    • DOI

      10.1115/fedsm2021-65731

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Experimental Investigation of Lagrangian Coherent Structures and Lobe Dynamics in Perturbed Rayleigh-Benard Convection2021

    • Author(s)
      Watanabe Masahito、Yoshimura Hiroaki
    • Journal Title

      Fluids Engineering Division Summer Meeting. Paper

      Volume: FEDSM2021- 64945, Pages: 8-8

    • DOI

      10.1115/fedsm2021-64945

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Dirac Structures in Thermodynamics of?Non-simple Systems2021

    • Author(s)
      Yoshimura Hiroaki、Francois Gay-Balmaz
    • Journal Title

      Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

      Volume: 12829 Pages: 918-925

    • DOI

      10.1007/978-3-030-80209-7_98

    • ISBN
      9783030802080, 9783030802097
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A Variational Perspective on the Thermodynamics of Non-isothermal Reacting Open Systems2021

    • Author(s)
      Francois Gay-Balmaz、Yoshimura Hiroaki
    • Journal Title

      Proceedings of Geometric Science of Information5th International Conference GSI 2021

      Volume: 12829 Pages: 900-908

    • DOI

      10.1007/978-3-030-80209-7_96

    • ISBN
      9783030802080, 9783030802097
    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Poincare inequalities with exact missing terms on homogeneous groups2021

    • Author(s)
      OZAWA Tohru、SURAGAN Durvudkhan
    • Journal Title

      Journal of the Mathematical Society of Japan

      Volume: 73 Issue: 2 Pages: 497-503

    • DOI

      10.2969/jmsj/83738373

    • NAID

      130008029572

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On the maximal Lp-Lq regulariy of solution to a general linear parabolic system2020

    • Author(s)
      T. Piasecki, Y. Shibata and E. Zatorska
    • Journal Title

      J. Differential Equations

      Volume: 268 Issue: 7 Pages: 3332-3369

    • DOI

      10.1016/j.jde.2019.09.058

    • Related Report
      2020 Annual Research Report 2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On the maximal Lp-Lq regularity theorem for the linearized electro-magnetic field equaitons with interface conditions2020

    • Author(s)
      E. Frolova and Y. Shibata
    • Journal Title

      Zapiski Nauchn. Sem. POMI

      Volume: 489 Pages: 130-172

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On periodic solutions for one-phase and two-phase problems of the Navier?Stokes equations2020

    • Author(s)
      Eiter Thomas、Kyed Mads、Shibata Yoshihiro
    • Journal Title

      Journal of Evolution Equations

      Volume: 21 Issue: 3 Pages: 2955-3014

    • DOI

      10.1007/s00028-020-00619-5

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Some Free Boundary Problem for Two-Phase Inhomogeneous Incompressible Flows2020

    • Author(s)
      Hirokazu Saito, Yoshihiro Shibata, Xin Zhang
    • Journal Title

      SIAM Journal on Mathematical Analysis

      Volume: 52 Issue: 4 Pages: 3397-3443

    • DOI

      10.1137/18m1225239

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] The Global Well-Posedness for the Compressible Fluid Model of Korteweg Type2020

    • Author(s)
      Murata Miho、Shibata Yoshihiro
    • Journal Title

      SIAM Journal on Mathematical Analysis

      Volume: 52 Issue: 6 Pages: 6313-6337

    • DOI

      10.1137/19m1282076

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Existence and uniqueness of classical paths under quadratic potentials2020

    • Author(s)
      Narita Kazuki, Ozawa Tohru
    • Journal Title

      Calculus of Variations and Partial Differential Equations

      Volume: 59 Issue: 4 Pages: 128-128

    • DOI

      10.1007/s00526-020-01791-9

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Global solutions to the Maxwell-Navier-Stokes system in a bounded domain in 2D2020

    • Author(s)
      Fan Jishan, Ozawa Tohru
    • Journal Title

      Zeitschrift f\"ur angewandte Mathematik und Physik

      Volume: 71 Issue: 4 Pages: 136-136

    • DOI

      10.1007/s00033-020-01364-y

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Sharp remainder of the Poincar\'e inequality2020

    • Author(s)
      Ozawa Tohru, Suragan Durvudkhan
    • Journal Title

      Proceedings of the American Mathematical Society

      Volume: 148 Issue: 10 Pages: 4235-4239

    • DOI

      10.1090/proc/15119

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Multidimensional inverse Cauchy problems for evolution equations2020

    • Author(s)
      Karazym Mukhtar, Ozawa Tohru, Suragan Durvudkhan
    • Journal Title

      Inverse Problems in Science and Engineering

      Volume: 28 Issue: 11 Pages: 1582-1590

    • DOI

      10.1080/17415977.2020.1739034

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Well-posedness of a 2D time-dependent Ginzburg-Landau superconductivity model2020

    • Author(s)
      Fan Jishan, Ozawa Tohru
    • Journal Title

      Nonlinear Analysis and Differential Equations

      Volume: 8 Issue: 1 Pages: 89-97

    • DOI

      10.12988/nade.2020.91126

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Existence and uniqueness of the entropy solution of a stochastic conservation law with a Q‐Brownian motion2020

    • Author(s)
      Funaki Tadahisa、Gao Yueyuan、Hilhorst Danielle
    • Journal Title

      Mathematical Methods in the Applied Sciences

      Volume: 43 Issue: 9 Pages: 5860-5886

    • DOI

      10.1002/mma.6329

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dirac structures and variational formulation of port-Dirac systems in nonequilibrium thermodynamics2020

    • Author(s)
      Gay-Balmaz Francois、Yoshimura Hiroaki
    • Journal Title

      IMA Journal of Mathematical Control and Information

      Volume: 37 Issue: 4 Pages: 1298-1347

    • DOI

      10.1093/imamci/dnaa015

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dirac structures in nonequilibrium thermodynamics for simple open systems2020

    • Author(s)
      Gay-Balmaz Francois、Yoshimura Hiroaki
    • Journal Title

      Journal of Mathematical Physics

      Volume: 61 Issue: 9 Pages: 092701-092701

    • DOI

      10.1063/1.5120390

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] From variational to bracket formulations in nonequilibrium thermodynamics of simple systems2020

    • Author(s)
      Gay-Balmaz Francois、Yoshimura Hiroaki
    • Journal Title

      Journal of Geometry and Physics

      Volume: 158 Pages: 103812-103812

    • DOI

      10.1016/j.geomphys.2020.103812

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Semitheoretical formulation of annular flow void fraction using the principle of minimum entropy production2020

    • Author(s)
      Giannetti Niccol?、Yamaguchi Seiichi、Saito Kiyoshi、Yoshimura Hiroaki
    • Journal Title

      International Journal of Thermal Sciences

      Volume: 158 Pages: 106522-106522

    • DOI

      10.1016/j.ijthermalsci.2020.106522

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Formulation of steady-state void fraction through the principle of minimum entropy production2020

    • Author(s)
      GIANNETTI Niccolo、SAITO Kiyoshi、YOSHIMURA Hiroaki
    • Journal Title

      Journal of Thermal Science and Technology

      Volume: 15 Issue: 3 Pages: JTST0025-JTST0025

    • DOI

      10.1299/jtst.2020jtst0025

    • NAID

      130007891168

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Global well-posedness for Incompressible-Incompressible two phase problem2020

    • Author(s)
      Yoshihiro Shibata Hirokazu Saito
    • Journal Title

      Fluids Under Pressure

      Volume: Chapter 3 Pages: 157-347

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] R boundedness, maximal regularity and free boundary problems for the navier stokes equations2020

    • Author(s)
      Y. Shibata
    • Journal Title

      Mathematcial Analysisi of the Navier-Stokes Equations, G.P.Galdi , Y. Shibata (Eds) C.I.M.E. Foundation Subseries @2020, Springer

      Volume: 2254 Pages: 193-462

    • DOI

      10.1007/978-3-030-36226-3_3

    • ISBN
      9783030362256, 9783030362263
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Cauchy problem and vanishing dispersion limit for Schr\"odinger-improved Boussinesq equations2020

    • Author(s)
      Fan Jishan、Ozawa Tohru
    • Journal Title

      Journal of Mathematical Analysis and Applications

      Volume: 485 Issue: 2 Pages: 123857-123857

    • DOI

      10.1016/j.jmaa.2020.123857

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Hardy type inequalities with spherical derivatives2020

    • Author(s)
      Bez Neal、 Machihara Shuji、 Ozawa Tohru
    • Journal Title

      SN Partial Differ. Equ. Appl.

      Volume: 1, Issue 1 Issue: 1

    • DOI

      10.1007/s42985-019-0001-1

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Cauchy problem and vanishing dispersion limit for Schrödinger-improved Boussinesq equations2020

    • Author(s)
      K. Fujiwara, V. Georgiev, T. Ozawa
    • Journal Title

      Journal of Differential Equations, (in press).

      Volume: 268

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A blow-up criterion for the modified Navier-Stokes-Fourier equations2020

    • Author(s)
      Fan Jishan、Ozawa Tohru
    • Journal Title

      Journal of Mathematical Fluid Mechanics

      Volume: 22 Issue: 2

    • DOI

      10.1007/s00021-019-0477-7

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On global well-posedness for nonlinear semirelativistic equations in some scaling subcritical and critical cases2020

    • Author(s)
      Fujiwara Kazumasa、Georgiev Vladimir、Ozawa Tohru
    • Journal Title

      J. Math. Pures Appl.

      Volume: 136 Pages: 239-256

    • DOI

      10.1016/j.matpur.2019.10.003

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On some nonlinear problem for the thermoplate equations2019

    • Author(s)
      S. Inna, H. Saito, Y. Shibata
    • Journal Title

      Evolution Equations and Control Theory

      Volume: 8 Issue: 4 Pages: 755-784

    • DOI

      10.3934/eect.2019037

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On the isothermal compressible multi-component mixture flow: The local existence and maximal Lp-Lq regularity of solutions2019

    • Author(s)
      T. Piasecki, Y. Shibata and E. Zatorska
    • Journal Title

      Nonlinear Analysis

      Volume: 189 Pages: 111571-111571

    • DOI

      10.1016/j.na.2019.111571

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Generation of semigroups for the thermoelastic plate equation with free boundary conditions2019

    • Author(s)
      Denk, R., Shibata, Y.
    • Journal Title

      Evolution Equations and Control Theory

      Volume: 8 Issue: 2 Pages: 301-313

    • DOI

      10.3934/eect.2019016

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Global well-possedness and decay for a Q tensor model of incompressible nematic liquid crystals in RN2019

    • Author(s)
      M. Schonbeck and Y. Shibata
    • Journal Title

      J. Differential Equations

      Volume: 266 Issue: 6 Pages: 3034-3065

    • DOI

      10.1016/j.jde.2018.08.050

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] R-solver and periodic solutons of the Navier-Stokes equations2019

    • Author(s)
      Y. Shibata
    • Journal Title

      京都大学数理解析研究所講究録

      Volume: -

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Fourier 変換と流体数学2019

    • Author(s)
      柴田良弘
    • Journal Title

      理工総研報告特集号16号2020年6月 ASTE Special Issue Vol. 16

      Volume: -

    • Related Report
      2019 Annual Research Report
  • [Journal Article] On the maximal Lp-Lq regularity theorem for the linearized electro-magnetic Magnetic field equations with interface conditions2019

    • Author(s)
      Elena Frolova and Yoshihiro Shibata
    • Journal Title

      to appear in Zapiski POMI in Russian and Journal of Mathematical Sciences

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On strong dynamics of compressible two-component mixture flow2019

    • Author(s)
      T. Piasecki, Y. Shibata and E. Zatorska
    • Journal Title

      SIAM J. Math. Anal.

      Volume: 51 Issue: 4 Pages: 2793-2849

    • DOI

      10.1137/17m1151134

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Local well-posedness and blow-up for the half Ginzburg-Landau-Kuramoto equation with rough coefficients and potential2019

    • Author(s)
      Forcella Luigi, Fujiwara Kazumasa, Georgiev Vladimir, Ozawa Tohru
    • Journal Title

      Discrete & Continuous Dynamical Systems - A

      Volume: 39 Issue: 5 Pages: 2661-2678

    • DOI

      10.3934/dcds.2019111

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Blow-Up or Global Existence for the Fractional Ginzburg-Landau Equation in Multi-dimensional Case2019

    • Author(s)
      Forcella Luigi、Fujiwara Kazumasa、Georgiev Vladimir、Ozawa Tohru
    • Journal Title

      “New Tools for NonlinearPDEs and Applications,” Birkh\"auser

      Volume: Trends in Mathematics Pages: 179-202

    • DOI

      10.1007/978-3-030-10937-0_6

    • ISBN
      9783030109363, 9783030109370
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Motion by Mean Curvature from Glauber-Kawasaki Dynamics2019

    • Author(s)
      Funaki, T., Tsunoda, K.
    • Journal Title

      Journal of Statistical Physics

      Volume: 177 Issue: 2 Pages: 183-208

    • DOI

      10.1007/s10955-019-02364-7

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A note on bilinear estimates in the Sobolev spaces2019

    • Author(s)
      Fan Jishan、Ozawa Tohru
    • Journal Title

      International Journal of Mathematical Analysis

      Volume: 13 Issue: 12 Pages: 551-554

    • DOI

      10.12988/ijma.2019.91064

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Invariant measures in coupled KPZ equations2019

    • Author(s)
      T. Funaki
    • Journal Title

      Proceedings for the Institut Henri Poincare trimester "Stochastic Dynamics Out of Equilibrium" (2017), Springer

      Volume: 印刷中 Pages: 560-568

    • DOI

      10.1007/978-3-030-15096-9_20

    • ISBN
      9783030150952, 9783030150969
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Sharp interface limit for stochastically perturbed mass conserving Allen?Cahn equation2019

    • Author(s)
      Funaki Tadahisa、Yokoyama Satoshi
    • Journal Title

      The Annals of Probability

      Volume: 47 Issue: 1 Pages: 560-612

    • DOI

      10.1214/18-aop1268

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Fast-reaction limit for Glauber-Kawasaki dynamics with two components2019

    • Author(s)
      De Masi A.、Funaki T.、Presutti E.、Vares M. E.
    • Journal Title

      Latin American Journal of Probability and Mathematical Statistics

      Volume: 16 Issue: 2 Pages: 957-957

    • DOI

      10.30757/alea.v16-34

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] A free energy Lagrangian variational formulation of the Navier-Stokes-Fourier system2019

    • Author(s)
      Gay-Balmaz, F., Yoshimura, H.
    • Journal Title

      International Journal of Geometric Methods in Modern Physics

      Volume: 16 Issue: supp01 Pages: 1940006-1940006

    • DOI

      10.1142/s0219887819400061

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] From Variational to Bracket Formulations in Nonequilibrium Thermodynamics of Simple Systems2019

    • Author(s)
      Gay-Balmaz, F., Yoshimura, H.
    • Journal Title

      Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

      Volume: - Pages: 209-217

    • DOI

      10.1007/978-3-030-26980-7_22

    • ISBN
      9783030269791, 9783030269807
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dirac Structures in Open Thermodynamics2019

    • Author(s)
      Yoshimura, H., Gay-Balmaz, F.
    • Journal Title

      Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

      Volume: - Pages: 199-208

    • DOI

      10.1007/978-3-030-26980-7_21

    • ISBN
      9783030269791, 9783030269807
    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] From Lagrangian mechanics to nonequilibrium thermodynamics: A variational perspective2019

    • Author(s)
      Gay-Balmaz, F., Yoshimura, H.
    • Journal Title

      Entropy

      Volume: Vo.21 No.1 Issue: 1 Pages: 8-8

    • DOI

      10.3390/e21010008

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Design of low energy escape trajectory and delta-V reduction2019

    • Author(s)
      Tanaka, Y., Yoshimura, H., Kawakatsu, Y.
    • Journal Title

      Proceedings of the International Astronautical Congress, IAC

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Open Access / Int'l Joint Research
  • [Journal Article] Low energy escape using tube dynamics associated with quasi-halo orbit2019

    • Author(s)
      Takemura, K., Baresi, N., Kawakatsu, Y., Yoshimura, H.
    • Journal Title

      Advances in the Astronautical Sciences

      Volume: 168 Pages: 701-711

    • Related Report
      2019 Annual Research Report
    • Open Access / Int'l Joint Research
  • [Journal Article] Dirac structures and Lagrangian systems on tangent bundles2019

    • Author(s)
      Hiroaki Yoshimura
    • Journal Title

      Symmetry and Singularity of Geometric Structures and Differential Equations, RIMS Kokyuroku

      Volume: No.2137,

    • NAID

      120006888163

    • Related Report
      2019 Annual Research Report
  • [Journal Article] Proc. 4th International conference, GSI(Geometric Science and Information) 2019 at Toulouse in France, August 27-28. Lecture Notes in Computer Science2019

    • Author(s)
      Francois Gay-Balmaz and Hiroaki Yoshimura
    • Journal Title

      Springer Nature Switzerland AG.

      Volume: - Pages: 209-217

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dirac structures and port-Lagrangian systems in thermodynamics, Proc. 3rd IFAC Workshop on Thermodynamic Foundations for a Mathematical Systems Theory2019

    • Author(s)
      Francois Gay-Balmaz and Hiroaki Yoshimura,
    • Journal Title

      Louvain-la-Neuve

      Volume: -

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Global well-posedness and decay for a Q tensor model of incompressible namatic liquid crystals in RN2019

    • Author(s)
      Maria Schonbek and Yoshihiro Shibata
    • Journal Title

      Journal of Differential Equations

      Volume: 266

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] 長田博文氏の業績---長距離相互作用を持つ無限粒子系の確率解析---2019

    • Author(s)
      舟木直久
    • Journal Title

      数学

      Volume: 71

    • NAID

      130008029692

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Note for global existence of semilinear heat equation in weighted L∞2019

    • Author(s)
      K. Fujiwara, V. Georgiev, T. Ozawa
    • Journal Title

      Pliska Stud. Math

      Volume: 30 Pages: 7-20

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] L^p-Caffarelli-Kohn-Nirenberg type inequalities on homogeneous groups2018

    • Author(s)
      Ozawa Tohru, Ruzhansky Michael, Suragan Durvudkhan
    • Journal Title

      The Quarterly Journal of Mathematics

      Volume: 70 Issue: 1 Pages: 305-318

    • DOI

      10.1093/qmath/hay040

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dirac structures in nonequilibrium thermodynamics2018

    • Author(s)
      Francois Gay-Balmaz and Hiroaki Yoshimura
    • Journal Title

      J. Math. Phys

      Volume: 59 Issue: 1 Pages: 012701-29

    • DOI

      10.1063/1.5017223

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On the Lp-Lq decay estimate for the Stokes equations with free boundary conditions in an exterior domain2018

    • Author(s)
      Yoshihiro Shibata
    • Journal Title

      Asymptotic Analysis

      Volume: 107 Issue: 1-2 Pages: 33-72

    • DOI

      10.3233/asy-171449

    • Related Report
      2018 Annual Research Report 2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the local wellposedness of free boundary problem for the Navier-Stokes equations in an exterior domain2018

    • Author(s)
      Yoshihiro Shibata
    • Journal Title

      Communication on Pure and Applied Analysis

      Volume: 17 Pages: 1681-172

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Global well-posedness of unsteady motion of viscous incompressible capillary liquid bounded by a free surface2018

    • Author(s)
      Yoshihiro Shibata
    • Journal Title

      Evolution Equations and Control Theory

      Volume: 7 Issue: 1 Pages: 117-152

    • DOI

      10.3934/eect.2018007

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the maximal Lp-Lq theory arising in the study of a free boundary problem for the Navier-Stokes equations2018

    • Author(s)
      Yoshihiro Shibata and Suma’Inna
    • Journal Title

      FMRIJ-18-eBook-220

      Volume: -

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A ariational formula of nonequilibrium thermodynamics for discrete opern systems with mass and heat transfer2018

    • Author(s)
      Francois Gay-Balmaz and Hiroaki Yoshimura
    • Journal Title

      Entropy

      Volume: 163 Issue: 3 Pages: 163-163

    • DOI

      10.3390/e20030163

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Dirac structures in nonequilibrium thermodynamics2018

    • Author(s)
      Francois Gay-Balmaz and Hiroaki Yoshimura
    • Journal Title

      J. Math. Phys

      Volume: 59 Pages: 1673-1705

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Variational discretization for the nonlequilibrium thermodynamics of simple system2018

    • Author(s)
      Francois Gay-Balmaz and Hiroaki Yoshimura
    • Journal Title

      Nonlinearity

      Volume: 31 Pages: 1673-1705

    • DOI

      10.1007/978-3-319-74929-7_6

    • ISBN
      9783319749280, 9783319749297
    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Convergence of a finite volume scheme for a stochastic conservation law involving a Q-Brownian motion2018

    • Author(s)
      T. Funaki, Y. Gao and D. Hilhorst
    • Journal Title

      Discrete and Continuous Dynamical System

      Volume: 23 Issue: 4 Pages: 1461-1504

    • DOI

      10.3934/dcdsb.2018159

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Dynamical behavior for the solutions of the Navier-Stokes equation2018

    • Author(s)
      K. Li, T. Ozawa, B. Wang
    • Journal Title

      Pure Appl. Anal

      Volume: 17時まで Issue: 4 Pages: 1511-1560

    • DOI

      10.3934/cpaa.2018073

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Stability of Trace Theorems on the Sphere2018

    • Author(s)
      Neal Bez, Chris Jeavons, Tohru Ozawa, Mitsuru Sugimoto
    • Journal Title

      The Journal of Geometric Analysis

      Volume: 28 Issue: 2 Pages: 1456-1476

    • DOI

      10.1007/s12220-017-9870-8

    • NAID

      120006496423

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] On the lifespan of strong solutions to the periodic derivative nonlinear Schr\"odinger equation2018

    • Author(s)
      Fujiwara Kazumasa, Ozawa Tohru
    • Journal Title

      Evolution Equations & Control Theory

      Volume: 7 Issue: 2 Pages: 275-280

    • DOI

      10.3934/eect.2018013

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Higher order fractional Leibniz rule2018

    • Author(s)
      K. Fujiwara, V. Georgiev, T. Ozawa
    • Journal Title

      J. Fourier Anal. Appl

      Volume: 24 Issue: 3 Pages: 650-665

    • DOI

      10.1007/s00041-017-9541-y

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Blow-up for self-interacting fractional Ginzburg-Landau equation2018

    • Author(s)
      K. Fujiwara, V. Georgiev, T. Ozawa
    • Journal Title

      Dynamics of PDE

      Volume: 15 Pages: 175-182

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Global well-posedness of weak solutions to the time-dependent Ginzburg-Landau model for superconductivity2018

    • Author(s)
      J. Fan, T. Ozawa
    • Journal Title

      Taiwanese J. Math

      Volume: 22 Pages: 851-858

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Compressible-incompressible two-phase flows with phase transition: model problem2018

    • Author(s)
      K. Watanabe
    • Journal Title

      J. Math. Fluid Mech

      Volume: 20 Pages: 969-1011

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] On the focusing energy-critical fractional nonlinear Schr?dinger equations2018

    • Author(s)
      Y. Cho, G. Hwang, T. Ozawa
    • Journal Title

      Adv. Differential Equations

      Volume: 23 Pages: 161-192

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Small data scattering of Hartree type fractional Schr?dinger equations in dimension 2 and 32018

    • Author(s)
      Y. Cho, T. Ozawa
    • Journal Title

      J. Korean Math. Soc.

      Volume: 55 Pages: 373-390

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Global solvability of the Navier-Stokes equations with a free surface in the maximal Lp-Lq regularity class2018

    • Author(s)
      Hirokazu Saito
    • Journal Title

      Journal of Differential Equations

      Volume: 264 Issue: 3 Pages: 1475-1520

    • DOI

      10.1016/j.jde.2017.09.045

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Ground States for Semi-Relativistic Schrödinger-Poisson-Slater Energy2017

    • Author(s)
      J. Bellazzini, T. Ozawa, N. Visciglia
    • Journal Title

      Funkcialaj Ekvacioj

      Volume: 60 Issue: 3 Pages: 353-369

    • DOI

      10.1619/fesi.60.353

    • NAID

      130006251685

    • ISSN
      0532-8721
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Short-range scattering of Hartree type fractional NLS II2017

    • Author(s)
      Y. Cho, T. Ozawa
    • Journal Title

      Nonlinear Analysis, Theory, Methods and Applications

      Volume: 157 Pages: 62-75

    • DOI

      10.1016/j.na.2017.03.005

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Maximal regularity for the thermoelastic plate equations with free boundary conditions2017

    • Author(s)
      R. Denk, Y. Shibata
    • Journal Title

      Journal of Evolution Equations

      Volume: 17 Issue: 1 Pages: 215-261

    • DOI

      10.1007/s00028-016-0367-x

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Global Existence of Classical Solutions and Optimal Decay Rate Via the Theory of Semigroup2017

    • Author(s)
      Yuko Enomoto and Yoshihiro Shibata
    • Journal Title

      Giga Y. Novotny A. (eds) Handbook of Mathematical Analysis in Mechanics of Viscous Fluids, Springer International Pub. AG

      Volume: - Pages: 1-99

    • DOI

      10.1007/978-3-319-10151-4_52-1

    • ISBN
      9783319101514
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Local well-posedness for an Ericksen-Leslie's parabolic-hyperbolic compressible non-isothermal model for liquid crystals2017

    • Author(s)
      J. Fan, T. Ozawa
    • Journal Title

      Electron. J. Differential Equations

      Volume: 2017 Pages: 1-8

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Uniform existence and uniqueness for a time-dependent Ginzburg-Landau model for superconductivity2017

    • Author(s)
      J. Fan, T. Ozawa
    • Journal Title

      Nonlinear Analysis and Differential Equations

      Volume: 5 Pages: 249-259

    • DOI

      10.12988/nade.2017.7713

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Lifespan of strong solutions to the periodic nonlinear Schroedinger equation without gauge invariance2017

    • Author(s)
      K. Fujiwara, T. Ozawa
    • Journal Title

      Journal of Evolution Equations

      Volume: 印刷中 Issue: 3 Pages: 1023-1030

    • DOI

      10.1007/s00028-016-0364-0

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] A coupled KPZ equation, its two types of approximations and existence of global solutions2017

    • Author(s)
      T. Funaki and M. Hoshino
    • Journal Title

      J. Funct. Anal.

      Volume: 273 Issue: 3 Pages: 1165-1204

    • DOI

      10.1016/j.jfa.2017.05.002

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] A variational formulation for fluid dynamics with irreversible processes2017

    • Author(s)
      Francois Gay-Balmaz and Hiroaki Yoshimura
    • Journal Title

      Lecture Notes in Comput. Sci.

      Volume: 10589 Pages: 401-409

    • DOI

      10.1007/978-3-319-68445-1_47

    • ISBN
      9783319684444, 9783319684451
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Dirac structures in nonequilbrium thermodynamics2017

    • Author(s)
      Hiroaki Yoshimura and Francois Gay-Balmaz
    • Journal Title

      Lecture Notes in Comput. Sci.

      Volume: 10589 Pages: 410-417

    • DOI

      10.1007/978-3-319-68445-1_48

    • ISBN
      9783319684444, 9783319684451
    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Remarks on the Rellich inequality2017

    • Author(s)
      S. Machihara, T. Ozawa, H. Wadade
    • Journal Title

      Mathematische Zeitschrift

      Volume: 印刷中 Issue: 3-4 Pages: 1367-1373

    • DOI

      10.1007/s00209-016-1805-8

    • NAID

      120005982988

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Tube dynamics and low energy Earth--Moon transfers in the 4-body system2017

    • Author(s)
      Kaori Onozaki, Hiroaki Yoshimura, and Shane Ross
    • Journal Title

      Advances in Space Research

      Volume: 60 Issue: 10 Pages: 2117-2132

    • DOI

      10.1016/j.asr.2017.07.046

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] On the global well-posedness of strong dynamics of incompressible nematic liquid crystals in $\mathbb{R}^N$2017

    • Author(s)
      M. Schonbek, Y. Shibata
    • Journal Title

      Journal of Evolution Equations

      Volume: 17 Issue: 1 Pages: 537-550

    • DOI

      10.1007/s00028-016-0358-y

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research / Acknowledgement Compliant
  • [Journal Article] Global wellposedness of a free boundary problem for the Navier-Stokes equations in an exterior domain2017

    • Author(s)
      Yoshihiro Shibata
    • Journal Title

      Fluid Mech Res Int

      Volume: 1

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Derivation of replicator- mutator equations from a model in population genetics2017

    • Author(s)
      J.Y. Wakano, T. Funaki and S. Yokoyama
    • Journal Title

      Japan J. Ind. Appl. Math.

      Volume: 34 Issue: 2 Pages: 473-488

    • DOI

      10.1007/s13160-017-0249-9

    • NAID

      210000171302

    • Related Report
      2017 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Presentation] On L1 maximal regularity2023

    • Author(s)
      Y. Shibata
    • Organizer
      The 40th Kyushu Symposium on PDE
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mathematical Approach of Two Phase Problem, Presnet and Future, SIAM Conference on Analysis of PDEs2022

    • Author(s)
      Y.Shibata
    • Organizer
      SIAM Conference on Analysis of PDEs
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] L1-maximal regularity of Stokes equations with free boundary conditions2022

    • Author(s)
      Y. Shibata
    • Organizer
      Mathematical Fluid Mechanics in 2022
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] L1-maximal regularity of Stokes equations with free boundary conditions2022

    • Author(s)
      Y. Shibata
    • Organizer
      Against the flow, Banach center meeting
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] A port-Dirac formulation for thermodynamics of non-simple systems,2021

    • Author(s)
      Hiroaki Yoshimura and Francois Gay-Balmaz
    • Organizer
      7rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dirac geometry and variational structures in nonequilibrium thermodynamics,2021

    • Author(s)
      Hiroaki Yoshimura,
    • Organizer
      OCAMI Joint Usage/Research, Workshop on Helicity and space-time symmetry
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] A variational perspective on the thermodynamics of non-isothermal reacting open systems2021

    • Author(s)
      Francois Gay-Balmaz and Hiroaki Yoshimura
    • Organizer
      7rd IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Numerical investigation of cloud cavitation and its induced shock wave2021

    • Author(s)
      Takahiro Ushioku, Hiroaki Yoshimura
    • Organizer
      ASME 2021 Fluids Engineering Division Summer Meeting
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Experimental investigation of Lagrangian coherent structures and lobe dynamics in perturbed Rayleigh-Benard convection2021

    • Author(s)
      Masahito Watanabe and Hiroaki Yoshimura
    • Organizer
      ASME 2021 Fluids Engineering Division Summer Meeting
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dirac structures in thermodynamics of non-simple systems2021

    • Author(s)
      Hiroaki Yoshimura and Francois Gay-Balmaz
    • Organizer
      Geometric Science of Information 2021
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Variational discretization for the dynamics of interconnected systems2021

    • Author(s)
      Hiroaki Yoshimura
    • Organizer
      SIAM Conference on Applications of Dynamical Systems (DS21),
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A variational perspective on the thermodynamics of non-isothermal reacting open systems2021

    • Author(s)
      Francois Gay-Balmaz and Hiroaki Yoshimura
    • Organizer
      Geometric Science of Information 2021,
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 摂動を受けるレイリー・ベナール対流に現れるラグランジュ・コ ヒーレント構造と流体輸送の実験的解析2021

    • Author(s)
      渡辺 昌仁, 吉村 浩明
    • Organizer
      日本応用数理学会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 二相混合体理論に基づくキャビテーションクラウドの非定常挙 動に関する数値解析2021

    • Author(s)
      牛奥 隆博, 吉村 浩明
    • Organizer
      日本応用数理学会
    • Related Report
      2021 Annual Research Report
  • [Presentation] 摂動を受けるレイリー・べナール対流の実験的観測とカオス的流体 輸送の解析2021

    • Author(s)
      渡辺昌仁, 吉村浩明
    • Organizer
      日本機械学会 Dynamics and Design Conference 2021
    • Related Report
      2021 Annual Research Report
  • [Presentation] 単一気泡のリバウンド挙動と衝撃波の伝播に関するモデリングと数 値シミュレーション2021

    • Author(s)
      牛奥隆博,吉村浩明
    • Organizer
      日本機械学会 Dynamics and Design Conference 2021
    • Related Report
      2021 Annual Research Report
  • [Presentation] R-bounded solution operators and mathematical fluid dynamics2021

    • Author(s)
      Yoshihiro Shibata
    • Organizer
      Fudan International Seminar on Analysis, PDEs, and Fluid Mechanics
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] R-bounded solution operators and mathematical fluid dynamics2021

    • Author(s)
      Yoshihiro Shibata
    • Organizer
      A lecture series on mathematical fluid dynamics in Waseda
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Stochastic PDE approach to random interfaces2021

    • Author(s)
      Funaki Tadahisa
    • Organizer
      信州大学理学部, zoom
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the Poincaré and Related Inequalities2020

    • Author(s)
      T. Ozawa
    • Organizer
      International Workshop on Multiphase Flows: Analysis, Modelling and Numerics
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Motion by mean curvature and coupled KPZ from particle systems.2020

    • Author(s)
      Funaki Tadahisa
    • Organizer
      Asia-Pacific Analysis and PDE Seminar, University of Sydney, zoom
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Derivation of coupled KPZ equation from multi-species zero-range processes.2020

    • Author(s)
      Funaki Tadahisa
    • Organizer
      Webinar on Stochastic Analysis, 中国科学院・北京理工大学, zoom
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] KPZ limit for interacting particle systems.2020

    • Author(s)
      Funaki Tadahisa
    • Organizer
      北京, 清華大学丘成桐数学科学中心, Mini-Course, zoom
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Quasilinear stochastic PDE and its asymptotics in noise2020

    • Author(s)
      Funaki Tadahisa
    • Organizer
      International Workshop on Multiphase Flows: Analysis, Modelling and Numerics, Oxford-Waseda in Mathetatics, 早稲田大学, zoom,
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dirac structures in nonequilibrium thermodynamics, Keynote Lecture in Joint Structures and Common Foundation of Statistical Physics2020

    • Author(s)
      Hiroaki Yoshimura
    • Organizer
      Information Geometry and Inference for Learning
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dirac structures and variational formulations in nonequilibrium thermodynamics, Keynote Lecture in International Workshop on Multiphase Flows2020

    • Author(s)
      Hiroaki Yoshimura,
    • Organizer
      Analysis, Modelling and Numerics Oxford-Waseda in Mathematics, Waseda University
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lagrangian Coherent Structures in Rayleigh-Benard Convection with Perturbations2020

    • Author(s)
      Masahito Watanabe and Hiroaki Yoshimura
    • Organizer
      International Workshop on Multiphase Flows: Analysis, Modelling and Numerics, Waseda University, Tokyo, Japan
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Multiphase Flow Analysis of Unsteady Behavior of Cloud Cavitation by the Smoothed Particle Hydrodynamics Method,2020

    • Author(s)
      Takahiro Ushioku and Hiroaki Yoshimura
    • Organizer
      International Workshop on Multiphase Flows: Analysis, Modelling and Numerics, Waseda University, Tokyo, Japan,
    • Related Report
      2020 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] ポワンカレの不等式・温故知新2020

    • Author(s)
      T. Ozawa
    • Organizer
      微分方程式セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Existence and Uniqueness of Classical Paths under Quadratic Potentials2020

    • Author(s)
      T. Ozawa
    • Organizer
      The 37th Kyushu Symposium on Partial Differential Equations
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the R-solver and periodic solutions of the Navier-Stokes equations2019

    • Author(s)
      Y. Shibata
    • Organizer
      Inhomogeneous Flows: Asymptotic Models and Interfaces Evolution
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] R-solver and periodic solutions of the Navier-Stokes equations2019

    • Author(s)
      Y. Shibata
    • Organizer
      非圧縮性粘性流体の数理解析, RIMS共同研究(公開型)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Self-similar solutions to the derivative nonlinear Schrödinger equation2019

    • Author(s)
      T. Ozawa
    • Organizer
      Conference on "Nonlinear Dispersive Waves, Solitons and related topics"
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Self-similar solutions to the derivative nonlinear Schrödinger equation2019

    • Author(s)
      T. Ozawa
    • Organizer
      12th ISAAC Congress
    • Related Report
      2019 Annual Research Report
  • [Presentation] 微分型相互作用をもつ非線型シュレディンガー方程式の自己相似解2019

    • Author(s)
      T. Ozawa
    • Organizer
      第9回岐阜数理科学研究会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Self-similar solutions to the derivative nonlinear Schrödinger equation2019

    • Author(s)
      T. Ozawa
    • Organizer
      International Conference “Actual Problems of Analysis, Differential Equations and Algebra”(National academy of sciences of the Republic of Kazakhstan)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Minimization problem on the action2019

    • Author(s)
      T. Ozawa
    • Organizer
      PDE seminar
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Sharp interface limit for stochastic Allen-Cahn equations2019

    • Author(s)
      Tadahisa Funaki
    • Organizer
      2019 Spring Probability Workshop
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Three different time stages in stochastic mass-conserving Allen-Cahn equation2019

    • Author(s)
      Tadahisa Funaki
    • Organizer
      Recent Trends in Stochastic Analysis and SPDEs
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Large deviation for lozenge tiling dynamics2019

    • Author(s)
      Tadahisa Funaki
    • Organizer
      Stochastic Analysis, Random Fields and Integrable Probability
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Scaling limits for random fields in two media2019

    • Author(s)
      Tadahisa Funaki
    • Organizer
      Gradient Flows and Related Topics: Analysis and Applications
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mean curvature interface limit from Glauber-Zero range interacting particles2019

    • Author(s)
      Tadahisa Funaki
    • Organizer
      Japanese-German Open Conference on Stochastic Analysis 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Stochastic mass-conserving Allen-Cahn equation, Seminaire-Groupe de Travail2019

    • Author(s)
      Tadahisa Funaki
    • Organizer
      Probabilites - Statistiques - Controle
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Motion by mean curvature and coupled KPZ from particle systems2019

    • Author(s)
      Tadahisa Funaki
    • Organizer
      Mathematical Analysis for Biology and Ecology
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Derivation of coupled KPZ equation from multi-species zero-range processes2019

    • Author(s)
      Tadahisa Funaki
    • Organizer
      The 18th Symposium Stochastic Analysis on Large Scale Interacting Systems
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dirac geometry, variational principles an dynamical systems in nonequilibrium thermodynamics2019

    • Author(s)
      Hiroaki Yoshimura
    • Organizer
      Workshop on Poisson Geometry and Related Topics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Experimental observations of single bubble dynamics and induced shock waves2019

    • Author(s)
      Takahiro Ushioku, Masaki Kunishima, Takashi Imamura and Hiroaki Yoshimura
    • Organizer
      4th International Conference on Recent Advances in Nonlinear Mechanics (RANM 2019)
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Chaotic mixing in two-dimensional Rayleigh-Benard convection with periodic perturbations2019

    • Author(s)
      Masahito Watanabe and Hirokai Yoshimura
    • Organizer
      4th International Conference on Recent Advances in Nonlinear Mechanics (RANM 2019
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Continuous and discrete variational formulations in nonequilibrium thermodynamics2019

    • Author(s)
      Hiroaki Yoshimura and Francois Gay-Balmaz
    • Organizer
      AMS Spring Central and Western Joint Sectional Meeting, Special Session on Geometric Approaches to Mechanics and Control IV
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dirac structures and dynamical systems in nonequilibrium thermodynamics2019

    • Author(s)
      Francois Gay-Balmaz and Hiroaki Yoshimura
    • Organizer
      AMS Spring Central and Western Joint Sectional Meeting, Special Session on Geometric Approaches to Mechanics and Control IV
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 摂動を受けるレイリー・ベナール対流に現れるカオス的混合と分岐現象2019

    • Author(s)
      渡辺昌仁, 吉村浩明
    • Organizer
      日本機械学会 Dynamics and Design Conference 2019
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 摂動を受けるレイリー・ベナール対流に現れるカオス的混合と分岐現象2019

    • Author(s)
      渡辺昌仁, 吉村浩明
    • Organizer
      日本応用数理学会講演
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 非平衡熱力学の変分的定式化と幾何学的構造2019

    • Author(s)
      吉村浩明
    • Organizer
      研究会「量子と古典の物理と幾何」東工大学先端化学技術センター
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 「非平衡熱力学の理解へ向けて ― 変分原理と幾何学的アプローチ ―」2019

    • Author(s)
      吉村浩明
    • Organizer
      計測自動制御学会 制御部門,真なるダイナミクスの追求による次世代システム制御理論調査研究会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] R boundedness, maximal regularity and one phase problem for the NS eq2019

    • Author(s)
      柴田良弘
    • Organizer
      RIMS共同研究(公開型)Maximal regularity and nonlinear PDE
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Hydrodynamic limits for stochastic systems2019

    • Author(s)
      舟木直久
    • Organizer
      Gran Sasso Science Institute, Series of Lectures
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Stochastic PDE approach to random interfaces2019

    • Author(s)
      舟木直久
    • Organizer
      Spring School on Random Interfaces Pisa-Augsburg School, Series of Lectures
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] erivation of coupled KPZ-Burgers equation from multi-species zero-range processes2019

    • Author(s)
      舟木直久
    • Organizer
      New Directions in Stochastic Analysis: Rough Paths, SPDEs and Related Topics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 微分型シュレディンガー方程式の自己相似解2019

    • Author(s)
      小澤徹
    • Organizer
      PDE Workshop in Miyazaki
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Cauchy problem for the quasilinear evolution equation of transverse wave model2019

    • Author(s)
      小澤徹
    • Organizer
      PDE Workshop Waseda - GSSI, L'Aquila-Pisa
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] On some free boundary problem for the Navier-StoWorkshop on Mathematical Fluid Dynamics in2018

    • Author(s)
      柴田良弘
    • Organizer
      Bad Bollkes equations
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 2 phase problem for the Navier-Stokes equations in the whole space2018

    • Author(s)
      柴田良弘
    • Organizer
      PDEs and Mathematical Hydrodynamics in Honor of Vsevolod Alekseevich
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 2 phase problem for the Navier-Stokes equations in the whole space2018

    • Author(s)
      柴田良弘
    • Organizer
      Mathflows
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A variational formulation, Dirac structures and dynamical systems for nonequilibrium thermodynamics2018

    • Author(s)
      吉村浩明
    • Organizer
      Workshop of Symmetry and Singularity of Geometric Structures and Differential Equations
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Dirac structures in thermodynamics2018

    • Author(s)
      吉村浩明
    • Organizer
      IFAC 6th Workshop on Lagrangian and Hamiltonian nonlinear control-LHMNC2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dirac structures, interconnections, and variational formulations in nonequilibrium thermodynamics, Entropy 20182018

    • Author(s)
      吉村浩明
    • Organizer
      From Physics to Information Sciences and Geometry, Special session: Fourier 250th Birthday: Geometric Theory of Thermodynamics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Mixing and Lagrangian coherent structures in Two-dimensional Rayleigh-Benard convection with periodic perturbations2018

    • Author(s)
      吉村浩明(Masahito Watanabe, Tomohiro Miyamoto)
    • Organizer
      SIAM Conference on Nonlinear Waves and Coherent Structures
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Design of low energy Earth-Moon transfers in the 4-body system2018

    • Author(s)
      吉村浩明
    • Organizer
      AIMS 2018 Special session 25: Celestial mechanics and N-body problem
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Design of low energy Earth-Moon transfers in the 4-body system2018

    • Author(s)
      吉村浩明
    • Organizer
      AIMS 2018 Special session 147: Structure preserving numerical methods
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A variational formulation, Dirac structures and dynamical systems for nonequilibrium thermodynamics2018

    • Author(s)
      吉村浩明
    • Organizer
      International Conference on Geometric Mechanics and Control
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] The discrete Lagrange-d'Alembert principle for interconnected systems with constraints2018

    • Author(s)
      吉村浩明(Linyu Peng)
    • Organizer
      ICDVC-2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Geometry, Variational Formulations and Interconnection for Physical System Dynamics, Toward understanding multi-physical systems (Keynote lecture)2018

    • Author(s)
      吉村浩明
    • Organizer
      ASME International Design Engineering Technical Conferences & Computers and Information in Engineering Conference
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Derivation of coupled KPZ equation from multi-color zero-range processes2018

    • Author(s)
      舟木直久
    • Organizer
      Motion by mean curvature from Glauber-Kawasaki dynamics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Motion by mean curvature from Glauber-Kawasaki dynamics2018

    • Author(s)
      舟木直久
    • Organizer
      Workshop on Interplay of Random Media and Stochastic Interface Models
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Coupled KPZ (Kardar-Parisi-Zhang) equation2018

    • Author(s)
      舟木直久
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations 
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Motion by mean curvature from Glauber-Kawasaki dynamics2018

    • Author(s)
      舟木直久
    • Organizer
      The 12th AIMS Conference on Dynamical Systems, Differential Equations 
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Derivation of coupled KPZ equation from multi-color zero-range process2018

    • Author(s)
      舟木直久
    • Organizer
      Workshop on Stochastic partial differential equations and related topics
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Hydrodynamic limit for exclusion processes2018

    • Author(s)
      舟木直久
    • Organizer
      KAIST Summer School in Probability 2018, Series of Lectures
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Coupled KPZ equation2018

    • Author(s)
      舟木直久
    • Organizer
      2018 Probability Workshop in Gyeongju
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Derivation of motion by mean curvature and Stefan problem from particle2018

    • Author(s)
      舟木直久
    • Organizer
      ReaDiNet 2018 Recent Progresses in Mathematical Theories for 
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Derivations of motion by mean curvature and Stefan problem from Glauber -Kawasaki dynamics2018

    • Author(s)
      舟木直久
    • Organizer
      17th workshop on Stochastic Analysis on Large Scale Interacting Systems
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] On improved Hardy inequalities2018

    • Author(s)
      小澤徹
    • Organizer
      Workshop in Hangzhou 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Improved Hardy inequalities2018

    • Author(s)
      小澤徹
    • Organizer
      PDE Workshop
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lifespan estimates of solutions to NLS without gauge invariance2018

    • Author(s)
      小澤徹
    • Organizer
      PDE Seminar
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Improved Hardy inequalities Celebrating Approximate 60s2018

    • Author(s)
      小澤徹
    • Organizer
      An International Conference on Nonlinear PDEs and Its Applications at NYU Shanghai
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lifespan of blowup solutions of DNLS type equation on the torus2018

    • Author(s)
      小澤徹
    • Organizer
      PDE Seminar
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] さまざまなハーディー型不等式2018

    • Author(s)
      小澤徹
    • Organizer
      作用素論セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Improved Hardy inequalities2018

    • Author(s)
      小澤徹
    • Organizer
      Nonlinear Dispersive Equations at Florianopolis
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Improved Hardy inequalities2018

    • Author(s)
      小澤徹
    • Organizer
      Mathematical Fluid Mechanics and Related Topics - in honor of Professor Hideo
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Large deviation for lozenge tiling dynamics2018

    • Author(s)
      Tadahisa Funaki
    • Organizer
      Gran Sasso Science Institute, L'Aquila, Italy
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Large deviation for lozenge tiling dynamics2018

    • Author(s)
      Tadahisa Funaki
    • Organizer
      NYU Shanghai
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Motion by mean curvature from Glauber-Kawasaki dynamics2018

    • Author(s)
      Tadahisa Funaki
    • Organizer
      Scuola Normale Superiore di Pisa, Italy
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Hydrodynamic limit and fluctuation limit for exclusion processes2018

    • Author(s)
      Tadahisa Funaki
    • Organizer
      Series of lectures, Beijing Jiaotong University
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Hydrodynamic limit for exclusion processes2018

    • Author(s)
      Tadahisa Funaki
    • Organizer
      Series of lectures, Gran Sasso Science Institute, L'Aquila, Italy
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Lifespan of blowup solutions to the nonlinear Schr\"{o}dinger equations on torus2018

    • Author(s)
      Tohru Ozawa
    • Organizer
      Hyperbolic Partial Differential Equations and Related Topics-in honor of the 60th birthday of Professor Tokio Matsuyama-, Chuo University, Tokyo, Japan
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lifespan of periodic solutions to derivative nonlinear Schr\"{o}dinger equations2018

    • Author(s)
      Tohru Ozawa
    • Organizer
      Noninear Dispersive Equations in Kumamoto, Kumamoto University, Japan
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On improved Hardy inequalities2018

    • Author(s)
      Tohru Ozawa
    • Organizer
      Workshop on Harmonic analysis and Nonlinear Evolution Equations, Aula Magna and Sala Seminari, Department of Mathematics, Pisa, Italy
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maximal regularity for the Navier-Stokes-Korteweg system and its application2018

    • Author(s)
      H. Saito
    • Organizer
      The 15th Japanese-German International Workshop on Mathematical Fluid Dynamics, 早稲田大学
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maximal regularity for a compressible fluid model of Ko-rteweg type and its application2018

    • Author(s)
      H. Saito
    • Organizer
      若手による流体力学の基礎方程式の研究集会, 名古屋大学
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Free boundary problem for incompressible viscous fluid flows with surface tension2018

    • Author(s)
      柴田良弘
    • Organizer
      第10回名古屋微分方程式研究集会, 名古屋大学
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Maximal regularity and free boundary problem for the Navier-Stokes equation2018

    • Author(s)
      Yoshihiro Shibata
    • Organizer
      The 15th Japanese-German International Workshop on Mathematical Fluid Dynamics, Tokyo, Japan
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Free boundary problem for the Navier-Stokes equations with surface tension2018

    • Author(s)
      柴田良弘
    • Organizer
      日本数学会2018年度年会, 東京大学
    • Related Report
      2017 Annual Research Report
  • [Presentation] Global well-posedness for a Q tensor model of Incompressible Nematic Liquid Crystals in RN2018

    • Author(s)
      柴田良弘
    • Organizer
      日本数学会2018年度年会, 東京大学
    • Related Report
      2017 Annual Research Report
  • [Presentation] On strong solutions for compressible-incompressible two-phase flows with phase transitions2018

    • Author(s)
      K. Watanabe
    • Organizer
      Japanese-Indonesian International Workshop on Mathematical Fluid Dynamics, Tokyo, Japan
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maximal regularity theorem of compressible-incompressible two-phase flows with phase transitions2018

    • Author(s)
      K. Watanabe
    • Organizer
      The 15th Japanese-German International Workshop on Mathematical Fluid Dynamics, Tokyo, Japan
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maximal regularity of compressible-incompressible two-phase flows with phase transitions2018

    • Author(s)
      渡邊圭市
    • Organizer
      日本数学会2018年度年会, 東京大学
    • Related Report
      2017 Annual Research Report
  • [Presentation] Sharp interface limit for stochastic Allen-Cahn equation2017

    • Author(s)
      Tadahisa Funaki
    • Organizer
      East Lake Lectures, Center for Mathematical Sciences, Huazhong University of Science and Technology, 武漢
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Stochastic motion by mean curvature2017

    • Author(s)
      Tadahisa Funaki
    • Organizer
      East Lake Lectures, Center for Mathematical Sciences, Huazhong University of Science and Technology, 武漢
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Coupled KPZ equation2017

    • Author(s)
      Tadahisa Funaki
    • Organizer
      East Lake Lectures, 河南大学 金明校区, 開封
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] KPZ equation2017

    • Author(s)
      Tadahisa Funaki
    • Organizer
      East Lake Lectures, 河南大学 金明校区, 開封
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] SPDEs, basic notion and facts2017

    • Author(s)
      Tadahisa Funaki
    • Organizer
      East Lake Lectures, 河南大学 金明校区, 開封
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Volume preserving mean curvature flow with stochastic term2017

    • Author(s)
      Tadahisa Funaki
    • Organizer
      International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics, 早稲田大学
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Invariant measures in coupled KPZ equations2017

    • Author(s)
      Tadahisa Funaki
    • Organizer
      Stochastic dynamics out of equilibrium, Institut Henri Poincare, Paris
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] A stochastically perturbed volume preserving mean curvature motion2017

    • Author(s)
      Tadahisa Funaki
    • Organizer
      Workshop on ReaDiNet 2017: International Conference on Mathematical Biology, National Taiwan University, 台湾
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 統計物理に動機付けられた確率解析の諸問題2017

    • Author(s)
      舟木直久
    • Organizer
      第10回早稲田大学数学・応用数理談話会
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Stochastic motion by mean curvature2017

    • Author(s)
      Tadahisa Funaki
    • Organizer
      北京交通大学
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Single and coupled KPZ equations2017

    • Author(s)
      Tadahisa Funaki
    • Organizer
      北京大学海外名家講義,北京大学 数学科学学院
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] A Lagrangian variational formulation for nonequilibrium thermodynamics of continuum systems2017

    • Author(s)
      Francois Gay-Balmaz and Hiroaki Yoshimura
    • Organizer
      2017 SIAM Conference on Applications of Dynamical Systems, Snowbird, USA
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Geometry of nonequilibrium thermodynamics Part I: variational principles2017

    • Author(s)
      Francois Gay-Balmaz and Hiroaki Yoshimura
    • Organizer
      3rd Pacific Rim Mathematical Association Congress
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Blowup solutions for the derivative nonlinear Schr\"{o}dinger equation on torus2017

    • Author(s)
      Tohru Ozawa
    • Organizer
      Recent topics on PDEs, Chuo University, Tokyo, Japan
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lifespan of periodic solutions to nonlinear Schr\"{o}dinger equations2017

    • Author(s)
      Tohru Ozawa
    • Organizer
      RIMS Workshop Nonlinear Wave and Dispersive Equations, Kyoto University, Kyoto, Japan
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Local solvability of the Navier-Stokes-Korteweg system on general domains2017

    • Author(s)
      H. Saito
    • Organizer
      International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics, 早稲田大学
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On a compressible fluid model of Korteweg type2017

    • Author(s)
      H. Saito
    • Organizer
      RIMS Workshop on Mathematical Analysis in Fluid and Gas Dynamics, 京都大学数理解析研究所
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maximal Lp-Lq regularity for a compressible fluid model of Korteweg type on general domains2017

    • Author(s)
      H. Saito
    • Organizer
      日本数学会 2017 年度秋季 総合分科会, 山形大学
    • Related Report
      2017 Annual Research Report
  • [Presentation] Analytic semigroups and the maximal Lp-Lq regularity for a compressible fluid model of Korteweg type2017

    • Author(s)
      H. Saito
    • Organizer
      名古屋微分方程式セミナー, 名古屋大学
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Local and Global wellposedness of two component flow2017

    • Author(s)
      Yoshihiro Shibata
    • Organizer
      Darmstadt Analysis Day 2017, Technical University of Darmstadt, Germany
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Global well-posedness for one phase and two phase problems for the Navier-Stokes equations in unbounded domains2017

    • Author(s)
      Yoshihiro Shibata
    • Organizer
      Geophysical Fluid Dynamics, Mathematical Research Institute of Oberwolfach Germany
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Two phase problem for the Navier-Stokes equations2017

    • Author(s)
      Yoshihiro Shibata
    • Organizer
      RIMS Workshop on Mathematical Analysis in Fluid and Gas Dynamics, Kyoto University
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Maximal Lp-Lq regularity theorem for the linearized electro-magnetic field equations2017

    • Author(s)
      Yoshihiro Shibata
    • Organizer
      日本数学会(The mathematical society of Japan),山形大学
    • Related Report
      2017 Annual Research Report
  • [Presentation] Global well-posedness for the two components flow2017

    • Author(s)
      Yoshihiro Shibata
    • Organizer
      日本数学会(The mathematical society of Japan),山形大学
    • Related Report
      2017 Annual Research Report
  • [Presentation] Local well-posedness for the magnetohydrodynamics in the different two liquies case2017

    • Author(s)
      Yoshihiro Shibata
    • Organizer
      日本数学会(The mathematical society of Japan),山形大学
    • Related Report
      2017 Annual Research Report
  • [Presentation] Local well-posedness for the two components flow2017

    • Author(s)
      Yoshihiro Shibata
    • Organizer
      日本数学会(The mathematical society of Japan),山形大学
    • Related Report
      2017 Annual Research Report
  • [Presentation] Maximal Lp-Lq regularity of compressible-incompressible two-phase flows with phase transitions in general domains2017

    • Author(s)
      渡邊圭市
    • Organizer
      第43回発展方程式論分科会, 日本女子大学
    • Related Report
      2017 Annual Research Report
    • Invited
  • [Presentation] Compressible-incompressible two phase flow of Korteweg type with phase transition: model problem2017

    • Author(s)
      渡邊圭市
    • Organizer
      日本数学会2017年度秋季総合分科会,山形大学
    • Related Report
      2017 Annual Research Report
  • [Presentation] A Lagrangian variational formulation for nonequilibrium thermodynamics of discrete systems2017

    • Author(s)
      Hiroaki Yoshimura and Francois Gay-Balmaz
    • Organizer
      2017 SIAM Conference on Applications of Dynamical Systems, Snowbird, USA
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research
  • [Presentation] Geometry of nonequilibrium thermodynamics Part II: Dirac structures2017

    • Author(s)
      Hiroaki Yoshimura and Francois Gay-Balmaz
    • Organizer
      3rd Pacific Rim Mathematical Association Congress
    • Related Report
      2017 Annual Research Report
    • Int'l Joint Research / Invited
  • [Book] Mathematical Analysis of the Navier-Stokes Equations2020

    • Author(s)
      Govanni P. Galdi and Yoshihiro Shibata
    • Total Pages
      471
    • Publisher
      Springer
    • ISBN
      9783030362256
    • Related Report
      2020 Annual Research Report
  • [Book] Proceedings of 45th Sapporo Symposium on Partial Differential Equations2020

    • Author(s)
      S. Ei, Y. Giga, N. Hamamuki, S. Jimbo, H. Kubo, H. Kuroda, H. Kuroda, T. Ozawa, T. Sakajo, and K. Tsutaya (Eds.),
    • Total Pages
      179
    • Publisher
      Hokkaido University technical report series in Mathematics
    • Related Report
      2020 Annual Research Report
  • [Book] Advances in Harmonic Analysis and Partial Differential Equations2020

    • Author(s)
      V. Georgiev, T. Ozawa, M. Ruzhansky, and J. Wirth (Eds.),
    • Total Pages
      317
    • Publisher
      Trends in Mathematics, Birkhäuser
    • ISBN
      9783030582142
    • Related Report
      2020 Annual Research Report
  • [Book] The Role of Metrics in the Theory of Partial Differential Equations2020

    • Author(s)
      Y. Giga, N. Hamamuki, H. Kubo, H. Kuroda, and T. Ozawa (Eds.),
    • Total Pages
      543
    • Publisher
      Advanced Studies in Pure Mathematics, 85, 2020, Mathematical Society of Japan
    • Related Report
      2020 Annual Research Report
  • [Book] 『確率偏微分方程式』数学叢書2019

    • Author(s)
      舟木直久, 乙部厳己, 謝賓,
    • Total Pages
      350
    • Publisher
      岩波書店
    • ISBN
      9784000298254
    • Related Report
      2019 Annual Research Report
  • [Book] 確率偏微分方程式2019

    • Author(s)
      舟木 直久、乙部 厳己、謝 賓
    • Total Pages
      376
    • Publisher
      岩波書店
    • ISBN
      9784000298254
    • Related Report
      2018 Annual Research Report
  • [Remarks] Birkhauser distinguished lecture

    • URL

      https://cassyni.com/s/birkhauser-distinguished-lectures

    • Related Report
      2021 Annual Research Report
  • [Remarks] SGU早稲田大学数物系拠点拠点長(2014年度~2021年度)

    • URL

      https://www.waseda.jp/fsci/mathphys/member/professor

    • Related Report
      2021 Annual Research Report
  • [Remarks] 流体数学研究所

    • URL

      https://www.waseda.jp/inst/cro/other/2020/03/29/4693/

    • Related Report
      2020 Annual Research Report
  • [Remarks] Waseda Math-Phys

    • URL

      https://www.youtube.com/channel/UCDD5lQZ4NnI15sWaDxuXylA

    • Related Report
      2020 Annual Research Report
  • [Remarks] スーパーグローバル大学創成支援 早稲田大学数物系科学拠点

    • URL

      http://www.sgu-mathphys.sci.waseda.ac.jp/

    • Related Report
      2019 Annual Research Report
  • [Remarks] Institute of Mathematical Fluid Dynamics 流体数学研究所

    • URL

      https://www.waseda.jp/inst/cro/other/2020/03/29/4693/

    • Related Report
      2019 Annual Research Report
  • [Remarks] 柴田研究室

    • URL

      http://www.fluid.sci.waseda.ac.jp/shibata/top.html

    • Related Report
      2018 Annual Research Report
  • [Remarks] スーパーグローバル大学創生支援、早稲田大学数物系科学拠点

    • URL

      http://www.sgu-mathphys.sci.waseda.ac.jp/

    • Related Report
      2018 Annual Research Report
  • [Remarks] 国際研究集会1のサイト

    • URL

      http://www.sgu-mathphys.sci.waseda.ac.jp/workshop/1711/

    • Related Report
      2017 Annual Research Report
  • [Remarks] 国際研究集会2のサイト

    • URL

      http://www.japan-germany.sci.waseda.ac.jp/event/201801/

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] A lecture series on mathematical fluid dynamics in Waseda2021

    • Related Report
      2020 Annual Research Report
  • [Funded Workshop] International Workshop on Multiphase Flows Analysis, Modelling and Numerics 「Oxford-Waseda in Mathematic2020

    • Related Report
      2020 Annual Research Report
  • [Funded Workshop] International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] International Workshop on Multi-Phase Flows: Analysis, Modelling and Numerics2018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] International Workshop on “Fundamental Problems in Mathematical and Theoretical Physics”2018

    • Related Report
      2018 Annual Research Report
  • [Funded Workshop] The 15th Japanese-German International Workshop on Mathematical Fluid Dynamics, Waseda University2018

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] Japanese-Indonesian International Workshop on Mathematical Fluid Dynamics, Waseda University2018

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] International Workshop on the Multi-Phase Flow; Analysis, Modeling and Numerics, Waseda University2017

    • Related Report
      2017 Annual Research Report
  • [Funded Workshop] 非圧縮性粘性流体の数理解析, 京都大学数理解析研究所2017

    • Related Report
      2017 Annual Research Report

URL: 

Published: 2017-04-28   Modified: 2024-01-30  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi