Updated on 2024/04/26

写真a

 
MIURA Tatsuhiko
 
Affiliation
Graduate School of Science and Technology Research Division

Degree

  • Ph.D. in Mathematical Sciences

  • M.S. in Mathematical Sciences

  • Bachelor of Science

Research Interests

  • Partial Differential Equations, Thin Domains, PDEs on Surfaces, Surface Fluids, Navier-Stokes Equations, Diffusion Equations

Research Areas

  • Natural Science / Mathematical analysis

Professional Memberships

  • The Mathematical Society of Japan

Papers

  • Approximation of a Solution to the Stationary Navier–Stokes Equations in a Curved Thin Domain by a Solution to Thin-Film Limit Equations

    Tatsu-Hiko Miura

    Journal of Mathematical Fluid Mechanics   26 ( 2 )   35 pp.   2024.4

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Error estimate for classical solutions to the heat equation in a moving thin domain and its limit equation

    Tatsu-Hiko Miura

    Interfaces and Free Boundaries   25 ( 4 )   633 - 670   2023.10

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Nonlinear stability of the two-jet Kolmogorov type flow on the unit sphere under a perturbation with nondissipative part

    Tatsu-Hiko Miura

    Nonlinearity   36 ( 3 )   1716 - 1742   2023.2

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Rate of the Enhanced Dissipation for the Two-jet Kolmogorov Type Flow on the Unit Sphere

    Yasunori Maekawa and Tatsu-Hiko Miura

    Journal of Mathematical Fluid Mechanics   24 ( 3 )   51 pp.   2022.7

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Linear stability and enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere

    Tatsu-Hiko Miura

    Journal of Functional Analysis   283 ( 8 )   38 pp.   2022.7

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Navier-Stokes Equations in a Curved Thin Domain, Part I: Uniform Estimates for the Stokes Operator

    Tatsu-Hiko Miura

    Journal of Mathematical Sciences, the University of Tokyo   29 ( 2 )   149 - 256   2022.5

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Navier-Stokes Equations in a Curved Thin Domain, Part II: Global Existence of a Strong Solution

    Tatsu-Hiko Miura

    Journal of Mathematical Fluid Mechanics   23 ( 1 )   60 pp.   2021.2

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Navier-Stokes equations in a curved thin domain, Part III: thin-film limit

    Tatsu-Hiko Miura

    Advances in Differential Equations   25 ( 9-10 )   457 - 626   2020.9

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • Singular limit problem for the Navier-Stokes equations in a curved thin domain

    Tatsu-Hiko Miura

    The Role of Metrics in the Theory of Partial Differential Equations, Advanced Studies in Pure Mathematics   85   291 - 302   2020.1

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    Language:English   Publishing type:Research paper (international conference proceedings)   Kind of work:Single Work  

  • Hamilton-Jacobi equations on an evolving surface

    Klaus Deckelnick, Charles M. Elliott, Tatsu-Hiko Miura, and Vanessa Styles

    Mathematics of Computation   88 ( 320 )   2635 - 2664   2019.11

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • 磁気流体緩和法の数学解析

    三浦達彦

    数理科学実践研究レター   2018-11   2018.8

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    Language:Japanese   Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

  • On singular limit equations for incompressible fluids in moving thin domains

    Tatsu-Hiko Miura

    Quarterly of Applied Mathematics   76 ( 2 )   215 - 251   2018.6

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  • An energetic variational approach for nonlinear diffusion equations in moving thin domains

    Tatsu-Hiko Miura, Yoshikazu Giga, and Chun Liu

    Advances in Mathematical Sciences and Applications   27 ( 1 )   115 - 141   2018

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • On analyticity of the L^p-Stokes semigroup for some non-Helmholtz domains

    Martin Bolkart, Yoshikazu Giga, Tatsu-Hiko Miura, Takuya Suzuki, and Yohei Tsutsui

    Mathematische Nachrichten   290 ( 16 )   2524 - 2546   2017.11

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Joint Work  

  • Zero width limit of the heat equation on moving thin domains

    Tatsu-Hiko Miura

    Interfaces and Free Boundaries   19 ( 1 )   31 - 77   2017.5

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    Language:English   Publishing type:Research paper (scientific journal)   Kind of work:Single Work  

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Awards

  • 2021年度日本数学会賞建部賢弘特別賞

    2021.09

  • 第37回井上研究奨励賞

    2021.02

  • 数理科学研究科長賞(博士課程)

    2019.03

  • 数理科学研究科長賞(修士課程)

    2016.03

  • 第17回北東数学解析研究会優秀ポスター賞

    2016.02