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

Entropy dissipative structure and mathematical analysis for complex fluids

Research Project

Project/Area Number 18H01131
Research Category

Grant-in-Aid for Scientific Research (B)

Allocation TypeSingle-year Grants
Section一般
Review Section Basic Section 12020:Mathematical analysis-related
Research InstitutionWaseda University

Principal Investigator

KAWASHIMA Shuichi  早稲田大学, 理工学術院, 教授(任期付) (70144631)

Co-Investigator(Kenkyū-buntansha) 柴田 良弘  早稲田大学, 理工学術院, 教授 (50114088)
小川 卓克  東北大学, 理学研究科, 教授 (20224107)
Project Period (FY) 2018-04-01 – 2022-03-31
Project Status Completed (Fiscal Year 2022)
Budget Amount *help
¥17,290,000 (Direct Cost: ¥13,300,000、Indirect Cost: ¥3,990,000)
Fiscal Year 2021: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2020: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2019: ¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2018: ¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Keywords非線形偏微分方程式 / 双曲型平衡則系 / 複雑流体 / 消散構造 / 時間大域解 / 減衰評価 / 非線形波 / 安定性 / 記憶型消散効果 / 数理解析 / エントロピー
Outline of Final Research Achievements

We studied various mathematical models which are formulated as systems of nonlinear partial differential equations in the fields of fluid mechanics, elasto-dynamics and plasma physics. We investigated the nonlinear structure based on the convexity of the entropy and the dissipative structure of the systems, and by using a rigorous method of analysis, we proved the asymptotic stability of solutions. Also we studied the corresponding nonlinear difference problem obtained as a discretization of the model from the viewpoint of conservation law and entropy dissipation, and proved the stability structure.

Academic Significance and Societal Importance of the Research Achievements

流体力学、弾性体力学やプラズマ物理学などの分野に現れる様々な自然現象の解明には、適切な数理モデルの構築とその数理解析が重要である。本研究では、保存則、エントロピー則の観点から自然な形で数理モデルの構築を行い、エントロピー消散構造、エントロピーの凸性に基づく非線形構造、系に内在する消散構造を明らかにし、それに基づく形での精密な安定性解析の理論を与えた。複雑な数理現象の解明に向けた数理モデリングとその数理解析において、正統的となるべき手法を提案した研究成果である。

Report

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

    (128 results)

All 2022 2021 2020 2019 2018

All Journal Article (50 results) (of which Int'l Joint Research: 24 results,  Peer Reviewed: 47 results,  Open Access: 16 results) Presentation (76 results) (of which Int'l Joint Research: 25 results,  Invited: 70 results) Funded Workshop (2 results)

  • [Journal Article] Dissipative structure and asymptotic profiles for symmetric hyperbolic systems with memory2021

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

      Journal of Hyperbolic Differential Equations

      Volume: 18 Issue: 02 Pages: 453-492

    • DOI

      10.1142/s0219891621500144

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

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

      Journal de Math?matiques Pures et Appliqu?es

      Volume: 154 Pages: 146-184

    • DOI

      10.1016/j.matpur.2021.08.009

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Thermodynamically consistent modeling for complex fluids and mathematical analysis2021

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

      Mathematical Models and Methods in Applied Sciences

      Volume: 31 Issue: 10 Pages: 1919-1949

    • DOI

      10.1142/s0218202521500421

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 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] On local solutions to a free boundary problem for incompressible viscous magnetohydrodynamics in the $L_p$ approach2021

    • Author(s)
      Y. Shibata, W. Zajaczkowski
    • Journal Title

      Dissertationes Mathematicae

      Volume: 566 Pages: 1-102

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

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

      J. Differential Equations

      Volume: 271 Pages: 414-446

    • DOI

      10.1016/j.jde.2020.08.023

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access
  • [Journal Article] Global well-posedness for incompressible Navier-Stokes equations in the critical Besov spaces under the Lagrangian coordinate2021

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

      J. Differential Equations

      Volume: 274 Pages: 613-651

    • DOI

      10.1016/j.jde.2020.10.023

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

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

      Differential Integral Equations

      Volume: 34 Pages: 223-244

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Singular limit problem to the Keller-Segel system in critical spaces and related medical problems - An application of maximal regularity2021

    • Author(s)
      T. Ogawa
    • Journal Title

      Springer Proc. Math. Stat.

      Volume: 346 Pages: 103-182

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

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

      Partial Differential Equations and Applications

      Volume: 2 Issue: 6

    • DOI

      10.1007/s42985-021-00120-9

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed / Open Access / Int'l Joint Research
  • [Journal Article] Maximal L^1-regularity of the heat equation and application to a free boundary problem of the Navier-Stokes equations near the half-space2021

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

      Journal of Elliptic and Parabolic Equations

      Volume: 7 Issue: 2 Pages: 509-535

    • DOI

      10.1007/s41808-021-00133-w

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

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

      Journal of Elliptic and Parabolic Equations

      Volume: 7 Issue: 2 Pages: 571-587

    • DOI

      10.1007/s41808-021-00136-7

    • Related Report
      2021 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Global existence for a semi-discrete scheme of some quasilinear hyperbolic balance laws2021

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

      Journal of Mathematical Analysis and Applications

      Volume: 498 Issue: 1 Pages: 124929-124929

    • DOI

      10.1016/j.jmaa.2021.124929

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

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

      Journal of Differential Equations

      Volume: 276 Pages: 287-317

    • DOI

      10.1016/j.jde.2020.12.021

    • Related Report
      2020 Annual Research Report
    • Peer Reviewed
  • [Journal Article] 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、Y. Shibata
    • Journal Title

      Zapiski Nauchn. Sem. POMI

      Volume: 489 Pages: 130-172

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

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

      NoDEA Nonlinear Differential Equations

      Volume: 27

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

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

      Hiroshima Math. J.

      Volume: 50 Issue: 1 Pages: 73-84

    • DOI

      10.32917/hmj/1583550016

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

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

      NoDEA Nonlinear Differential Equations Appl.

      Volume: 27 Issue: 2

    • DOI

      10.1007/s00030-020-0621-3

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

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

      Journal of Differential Equations

      Volume: 269 Issue: 10 Pages: 8959-8997

    • DOI

      10.1016/j.jde.2020.06.012

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

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

      Proc. Japan Acad.

      Volume: 96 Pages: 57-62

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

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

      J. Math. Anal. Appl.

      Volume: 481 Issue: 1 Pages: 123455-123455

    • DOI

      10.1016/j.jmaa.2019.123455

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

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

      Kinetic and Related Models

      Volume: 12 Issue: 4 Pages: 923-944

    • DOI

      10.3934/krm.2019035

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Mathematical analysis for a model system of complex fluids2019

    • Author(s)
      S. Kawashima and S. Taniue
    • Journal Title

      RIMS Kokyuroku

      Volume: 2121

    • Related Report
      2019 Annual Research Report
  • [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] 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] 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 condition2019

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

      Evolution Equation and Controle Theory

      Volume: 8 Pages: 301-313

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / 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] Critical dissipative estimate for a heat semigroup with a quadratic singular potential and critical exponent for nonlinear heat equations2019

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

      J. Differential Equations

      Volume: 266 Issue: 4 Pages: 2274-2293

    • DOI

      10.1016/j.jde.2018.08.030

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite time blow up and non-uniform bound for solutions to a degenerate drift-diffusion equation with the mass critical exponent under non-weight condition2019

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

      manuscripta math.

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

    • DOI

      10.1007/s00229-019-01108-x

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

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

      Proc. Ameri. Math. Soc.

      Volume: 147 Issue: 4 Pages: 1511-1518

    • DOI

      10.1090/proc/14350

    • Related Report
      2019 Annual Research Report 2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Finite time blow up for solutions to a degenerate drift-diffusion equation for a fast diffusion case2019

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

      Nonlinearity

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

    • DOI

      10.1088/1361-6544/ab0069

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

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

      Adv. Study Pure Math.

      Volume: 81 Pages: 101-120

    • DOI

      10.1017/jfm.2019.621

    • Related Report
      2019 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Global existence and optimal time-decay estimates of solutions to the generalized double dispersion equation on the framework of Besov spaces2019

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

      J. Math. Anal. Appl.

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / Int'l Joint Research
  • [Journal Article] Asymptotic stability of rarefaction waves for a hyperbolic system of balance laws,2019

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

      Kinetic and Related Models

      Volume: 印刷中

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Dissipative structure for symmetric hyperbolic systems with memory2018

    • Author(s)
      S. Kawashima and S. Taniue
    • Journal Title

      Sci. China Math.

      Volume: 61 Issue: 11 Pages: 2053-2064

    • DOI

      10.1007/s11425-017-9291-y

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Journal Article] Viscous shock profile and singular limit for hyperbolic systems with Cattaneo's law2018

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

      Kinetic and Related Models

      Volume: 11 Issue: 4 Pages: 795-819

    • DOI

      10.3934/krm.2018032

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [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 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 R^N2018

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

      Journal of Differential Equations

      Volume: 266

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed / 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
    • 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)
      Y. Shibata
    • Journal Title

      Communication on Pure and Applied Analysis

      Volume: 17

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [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)
      Y. Shibata and S. Inna
    • Journal Title

      FMRIJ-18-eBook-220

      Volume: -

    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research
  • [Journal Article] Remark on the uniqueness of a weak mild solution of the Boltzmann equation in a critical Besov space2018

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

      RIMS Kokyuroku Bessatsu

      Volume: B67

    • Related Report
      2018 Annual Research Report
  • [Journal Article] Logarithmic Sobolev and Shannon's inequalities and an application to the uncertainty principle2018

    • Author(s)
      T. Ogawa and K. Seraku
    • Journal Title

      Comm. Pure Appl. Anal.

      Volume: 17

    • Related Report
      2018 Annual Research Report
    • Peer Reviewed
  • [Presentation] Global wellposedness for two phase problem of Navier-Stokes equations in ubbounded domains2022

    • Author(s)
      Y. Shibata
    • Organizer
      East Asian Workshop on Partial Differential Equations in Fluid Dynamics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] New thought on Matsumura-Nishida theory in the maximal regularity framework2021

    • Author(s)
      Y. Shibata
    • Organizer
      Fluid under Control/Summer School
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Matsumura and Nishida theorym in the maximal Lp-Lq regularity framework2021

    • Author(s)
      Y. Shibata
    • Organizer
      International Workshop on Recent Advances in Nonlinear PDE
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] R-solver, Maximal Regularity and Mathematical Fuid Dynamics2021

    • Author(s)
      Y. Shibata
    • Organizer
      Necas Center 偏微分方程式セミナー(チェコアカデミィ)
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Global wellposedness for two phase problem of Navier-Stokes equations in ubbounded domains2021

    • Author(s)
      Y. Shibata
    • Organizer
      Internatial Workshop on Multiphase Flows: Analysis, Modelling and Numerics
    • Related Report
      2021 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] End-point maximal regularity and free boundary problem of the Navier-Stokes equations2021

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

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

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

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

    • Author(s)
      小川卓克
    • Organizer
      東北大学 理学研究科同窓会 合同講演会 (オンデマンド方式)
    • Related Report
      2021 Annual Research Report
    • Invited
  • [Presentation] 臨界 Besov 空間に於ける Hall 効果を持つ圧縮性磁気粘性流体方程式系の 時間大域適切性について2021

    • Author(s)
      中里亮介, 川島秀一, 小川卓克
    • Organizer
      日本数学会2021年度年会
    • Related Report
      2020 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] Mathematical analysis for hyperbolic systems of balance laws2020

    • Author(s)
      川島秀一
    • Organizer
      東京工業大学集中講義
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Decay property for system of magnetohydrodynamics with Hall effect2020

    • Author(s)
      川島秀一
    • Organizer
      大岡山談話会
    • Related Report
      2020 Annual Research Report
    • Invited
  • [Presentation] Stokes 方程式に対するBMO における熱方程式の初期値問題の最大正則性2020

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

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

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

    • Author(s)
      小川卓克、黒木場正城
    • Organizer
      日本数学会令和3年度年会函数方程式論分科会
    • Related Report
      2020 Annual Research Report
  • [Presentation] Hall 効果を持つ圧縮性磁気粘性流体方程式系の解の時間大域適切性と時間減衰評価に関して2020

    • Author(s)
      中里亮介, 川島秀一, 小川卓克
    • Organizer
      日本数学会2020年度年会
    • Related Report
      2019 Annual Research Report
  • [Presentation] 端点最大正則性と臨界型非線型問題2020

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

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

    • Author(s)
      小川卓克
    • Organizer
      大阪大学 微分方程式セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] A model system of complex fluids and hyperbolic balance laws2019

    • Author(s)
      S. Kawashima
    • Organizer
      International Conference on Modeling, Computations, Theoretical Analysis on Fluid Dynamics and Related Problems
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Dissipative structure for system of magnetohydrodynamics with Hall effect2019

    • Author(s)
      川島秀一
    • Organizer
      北九州地区における偏微分方程式研究集会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 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
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] BMOにおける熱方程式の初期値問題の最大正則性と最適初期トレース評価2019

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

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

    • Author(s)
      小川卓克
    • Organizer
      早稲田大学 応用解析研究会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Maximal regularity for the Cauchy problem of the Stokes equation in bounded mean oscillation2019

    • Author(s)
      小川卓克
    • Organizer
      神楽坂解析セミナー
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 非線型発展方程式の臨界正則性と特異極限2019

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

    • Author(s)
      T. Ogawa
    • Organizer
      Lorraine-Tohoku workshop in Mathematics
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] End-point maximal regularity for the parabolic evolution equations2019

    • Author(s)
      小川卓克
    • Organizer
      発展方程式の進展開: 数理理論と現象解析の協働
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Singular limit problem for the Keller-Segel equation to the drift-diffusion system in a critical setting2019

    • Author(s)
      T. Ogawa
    • Organizer
      Chemotaxis and Nonlinear Parabolic Equations
    • Related Report
      2019 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 放物型方程式の最大正則性とその応用2019

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

    • Author(s)
      小川卓克
    • Organizer
      熊本大学 理学部数学教室談話会
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] 放物型発展方程式の端点最大正則性と応用 I, II, III2019

    • Author(s)
      小川卓克
    • Organizer
      関数空間論とその周辺
    • Related Report
      2019 Annual Research Report
    • Invited
  • [Presentation] Asymptotic stability of nonlinear waves for a model system of hyperbolic balance laws2019

    • Author(s)
      S. Kawashima
    • Organizer
      Workshop "Critical exponent and nonlinear evolution equations 2019"
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Complex fluids and hyperbolic balance laws2019

    • Author(s)
      S. Kawashima
    • Organizer
      Seminar at Shanghai University
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Nonlinear waves for a model system of hyperbolic balance laws2019

    • Author(s)
      S. Kawashima
    • Organizer
      Seminar at Nanjing University of Aeronautics and Astronautics
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Stability analysis for a model system of complex fluids2019

    • Author(s)
      S. Kawashima
    • Organizer
      Seminar at Nanjing University of Aeronautics and Astronautics
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Stability analysis for a model system of complex fluids2019

    • Author(s)
      S. Kawashima
    • Organizer
      Seminar at Institute of Applied Physics and Computational Mathematics
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Nonlinear waves for a model system of hyperbolic balance laws2019

    • Author(s)
      S. Kawashima
    • Organizer
      Seminar at Chinese Academy of Sciences
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 対称双曲系の消散構造と安定性解析2019

    • Author(s)
      川島秀一
    • Organizer
      日本数学会2019年度年会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Nonlinear waves for a model system of hyperbolic balance laws2019

    • Author(s)
      S. Kawashima
    • Organizer
      Waseda Workshop on Partial Differential Equations 2019
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] On the decay properties of Stokes semigroup associated with two phase problem with surface tension2019

    • Author(s)
      柴田良弘
    • Organizer
      日本数学会
    • Related Report
      2018 Annual Research Report
  • [Presentation] Two phase problem for the Navier-Stokes equations in the whole space2019

    • Author(s)
      柴田良弘
    • Organizer
      日本数学会
    • Related Report
      2018 Annual Research Report
  • [Presentation] R boundedness, maximal regularity and one phase problem for the NS eq.2019

    • Author(s)
      Y. Shibata
    • Organizer
      RIMS共同研究(公開型)Maximal regularity and nonlinear PDE
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Lagrange 座標系における Navier-Stokes 方程式の可解性2019

    • Author(s)
      小川卓克
    • Organizer
      第十回 北海道-東北コンソーシアムセミナー, 新潟における偏微分方程式集中セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Maximal regularity for the Cauchy problem of the heat equation in the class of bounded mean oscillation2019

    • Author(s)
      T. Ogawa
    • Organizer
      国際研究集会 Zhuhai PDE workshop
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maximal regularity for the Cauchy problem for the Stokes system in BMO2019

    • Author(s)
      T. Ogawa
    • Organizer
      国際研究集会 Maximal Regularity and Nonlinear PDE
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] General theory for hyperbolic balance laws and application to a model system of viscoelastic fluid2018

    • Author(s)
      川島秀一
    • Organizer
      「応用解析」研究会定例セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 記憶型消散構造の数理解析と応用2018

    • Author(s)
      川島秀一
    • Organizer
      熱エネルギー変換工学・数学融合研究所 第1回シンポジウム「工学と数学の融合に向けて」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] A model system of viscoelastic fluids and related problems2018

    • Author(s)
      川島秀一
    • Organizer
      信州大学偏微分方程式研究集会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] A model system of complex fluids and hyperbolic balance laws2018

    • Author(s)
      川島秀一
    • Organizer
      非線形解析セミナー@大岡山
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Mathematical analysis for a model system of complex fluids2018

    • Author(s)
      川島秀一
    • Organizer
      RIMS共同研究(公開型)「非線形発展方程式を基盤とする現象解析に向けた数学理論の展開」
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 双曲型平衡則系に対する数学解析2018

    • Author(s)
      川島秀一
    • Organizer
      早稲田大学 数学・応用数理談話会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Mathematical analysis for a model system of viscoelastic fluids2018

    • Author(s)
      川島秀一
    • Organizer
      非線形解析セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Dissipative structure for a model system of complex fluids2018

    • Author(s)
      川島秀一
    • Organizer
      北九州地区における偏微分方程式研究集会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] On some free boundary problem for the Navier-Stokes equations2018

    • Author(s)
      Y. Shibata
    • Organizer
      Workshop on Mathematical Fluid Dynamics
    • 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)
      Y. Shibata
    • Organizer
      PDEs and Mathematical Hydrodynamics in Honor of Vsevolod Alekseevich Solonnikov’s 85’th Birthday
    • 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)
      Y. Shibata
    • Organizer
      Mathflows 2018
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Illposedness for the compressbile Navier-Stokes system in the critical Besov spaces2018

    • Author(s)
      T. Ogawa
    • Organizer
      2018 PDE workshop in Hangzhou
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Ill-posedness issue for the compressible Navier-Stokes equation under the barotropic assumption in the critical Besov space2018

    • Author(s)
      T. Ogawa
    • Organizer
      国際研究集会 Mathematical Fluid Mechnaics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] 非圧縮性 Navier-Stokes 方程式の大域適切性について2018

    • Author(s)
      小川卓克
    • Organizer
      第三回 彦根解析セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 移流拡散方程式の初期値問題について2018

    • Author(s)
      小川卓克
    • Organizer
      火曜解析セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Ill-posedness for the compressible Navier-Stokes equations in the critical Besov space2018

    • Author(s)
      小川卓克
    • Organizer
      九州関数方程式セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] 熱方程式のBMOにおける最大正則性について2018

    • Author(s)
      小川卓克
    • Organizer
      第九回 北海道-東北コンソーシアムセミナー, 八戸における偏微分方程式集中セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Well-posedness of the initial value problem for incompressible Navier-Stokes equations under the Lagrangian coordinate2018

    • Author(s)
      T. Ogawa
    • Organizer
      国際研究集会 Mathematical Fluid Mechanics and Related Topics
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maximal regularity for the Cauchy problem of parabolic equations in BMO2018

    • Author(s)
      小川卓克
    • Organizer
      大分微分方程式研究集会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Maximal regularity for the Cauchy problem of parabolic equations in BMO2018

    • Author(s)
      小川卓克
    • Organizer
      広島微分方程式研究会
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Maximal regularity for the Cauchy problem of heat equations in BMO and its application2018

    • Author(s)
      T. Ogawa
    • Organizer
      Comenius University PDE seminar
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Ill-posedness for the strong solution of the barotropic compressible Navier-Stokes system in the critical Besov space2018

    • Author(s)
      小川卓克
    • Organizer
      東工大 非線形解析セミナー
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Presentation] Large time behavior and singular limit problem for drift-diffusion system in higher space dimension I, II2018

    • Author(s)
      T. Ogawa
    • Organizer
      国際研究集会 Polish-Japanese Workshop on Chemotaxis
    • Related Report
      2018 Annual Research Report
    • Int'l Joint Research / Invited
  • [Presentation] Maximal regularity for the Cauchy problem of hat equations in BMO2018

    • Author(s)
      T. Ogawa
    • Organizer
      PDE seminar at IMPAN
    • Related Report
      2018 Annual Research Report
    • Invited
  • [Funded Workshop] Seventh China-Japan Workshop on Mathematical Topics from Fluid Mechanics2019

    • Related Report
      2019 Annual Research Report
  • [Funded Workshop] Workshop on Mathematical Sciences2018

    • Related Report
      2018 Annual Research Report

URL: 

Published: 2018-04-23   Modified: 2024-01-30  

Information User Guide FAQ News Terms of Use Attribution of KAKENHI

Powered by NII kakenhi