Affiliation
Graduate School of Science and Technology Research Division
MIURA Tatsuhiko
Degree
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Ph.D. in Mathematical Sciences
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M.S. in Mathematical Sciences
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Bachelor of Science
Research Interests
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Partial Differential Equations, Thin Domains, PDEs on Surfaces, Surface Fluids, Navier-Stokes Equations, Diffusion Equations
Research Areas
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Natural Science / Mathematical analysis
Professional Memberships
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The Mathematical Society of Japan
Papers
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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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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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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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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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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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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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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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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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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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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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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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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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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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Zero width limit of the heat equation on moving thin domains
Tatsu-Hiko Miura
Interfaces and Free Boundaries 19 ( 1 ) 31 - 77 2017.5
Awards
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2021年度日本数学会賞建部賢弘特別賞
2021.09
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第37回井上研究奨励賞
2021.02
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数理科学研究科長賞（博士課程）
2019.03
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数理科学研究科長賞（修士課程）
2016.03
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第17回北東数学解析研究会優秀ポスター賞
2016.02