論文 - 三浦 達彦
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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年04月
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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年10月
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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年02月
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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年07月
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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年07月
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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年05月
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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年02月
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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年09月
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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年01月
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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年11月
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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年08月
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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年06月
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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年
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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年11月
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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年05月