Publications
Preprints
Thin-film limit of the Ginzburg-Landau heat flow in a curved thin domain, arXiv:2404.14703. (Link)
Peer-reviewed Papers
Approximation of a Solution to the Stationary Navier-Stokes Equations in a Curved Thin Domain by a Solution to Thin-Film Limit Equations, Journal of Mathematical Fluid Mechanics 26 (2024), no. 2, Paper No. 33, 35 pp. (Link)
Error estimate for classical solutions to the heat equation in a moving thin domain and its limit equation, Interfaces and Free Boundaries 25 (2023), no. 4, 633-670. (Link)
Nonlinear stability of the two-jet Kolmogorv type flow on the unit sphere under a perturbation with nondissipative part, Nonlinearity 36 (2023), no. 3, 1716-1742. (Link)
(with Y. Maekawa) Rate of the Enhanced Dissipation for the Two-jet Kolmogorov Type Flow on the Unit Sphere, Journal of Mathematical Fluid Mechanics 24 (2022), no. 3, Paper No. 92, 51 pp. (Link)
Linear stability and enhanced dissipation for the two-jet Kolmogorov type flow on the unit sphere, Journal of Functional Analysis 283 (2022), no. 8, Paper No. 109607, 38 pp. (Link), Corrigendum: Journal of Functional Analysis 285 (2023), no. 6, Paper No. 110012, 5 pp. (Link)
Navier-Stokes Equations in a Curved Thin Domain, Part I: Uniform Estimates for the Stokes Operator, Journal of Mathematical Sciences, the University of Tokyo 29 (2022), no. 2, 149-256. (Link)
Navier-Stokes Equations in a Curved Thin Domain, Part II: Global Existence of a Strong Solution, Journal of Mathematical Fluid Mechanics 23 (2021), no. 1, Paper No. 7, 60 pp. (Link)
Navier-Stokes equations in a curved thin domain, Part III: thin-film limit, Advances in Differential Equations 25 (2020), no. 9-10, 457-626. (Link), Erratum: Advances in Differential Equations 28 (2023), no. 3-4, 341-346. (Link)
(with K. Deckelnick, C. M. Elliott, and V. Styles) Hamilton-Jacobi equations on an evolving surface, Mathematics of Computation 88 (2019), no. 320, 2635-2664. (Link)
(with Y. Giga and C. Liu) An energetic variational approach for nonlinear diffusion equations in moving thin domains, Advances in Mathematical Sciences and Applications 27 (2018), no. 1, 115-141.
On singular limit equations for incompressible fluids in moving thin domains, Quarterly of Applied Mathematics 76 (2018), no. 2, 215-251. (Link)
Zero width limit of the heat equation on moving thin domains, Interfaces and Free Boundaries 19 (2017), no. 1, 31-77. (Link)
(with M. Bolkart, Y. Giga, T. Suzuki, and Y. Tsutsui) On analyticity of the L^p-Stokes semigroup for some non-Helmholtz domains, Mathematische Nachrichten 290 (2017), no. 16, 2524-2546. (Link)
Proceedings, Technical Reports (peer-reviewed)
Miscellaneous (not peer-reviewed)
On the Navier-Stokes equations in a curved thin domain, Mathematical Analysis of Viscous Incompressible Fluid, RIMS Kôkyûroku 2144 (2020), 52-65. (Link)
Singular limit problem for the Navier-Stokes equations in a curved thin domain, Theoretical Developments to Phenomenon Analyses based on Nonlinear Evolution Equations, RIMS Kôkyûroku 2121 (2019), 15-28. (Link)
曲がった薄膜領域上のナヴィエ・ストークス方程式に関する特異極限問題, 第15回数学総合若手研究集会：数学の交叉点, 北海道大学数学講究録 176 (2019), 31-40. (Link)
Singular limit problem for the Navier-Stokes equations in a curved thin domain, Surface, Bulk, and Geometric Partial Differential Equations: Interfacial, stochastic, non-local and discrete structures, Oberwolfach Reports 16 (2019), no. 1, 188-190. (Link)
Singular limit problem for the Navier-Stokes equations in a curved thin domain, Proceedings of 43rd Sapporo Symposium on Partial Differential Equations, Hokkaido University technical report series in mathematics 175 (2018), 13-19. (Link)
Singular limit problem for the Navier-Stokes equations in a curved thin domain, The Role of Metrics in the Theory of Partial Differential Equations, Hokkaido University technical report series in mathematics 174 (2018), 93-94. (Link)
Zero width limit of the heat equation on moving thin domains (in Japanese), 第37回発展方程式若手セミナー報告集 (2015), 67-73.