Publications
A list of my publications is also available at MathSciNet, ORCID, Google Scholar, Scopus, Web of Science, and researchmap.
Preprints :
03. Algebraic decay rates for the inhomogeneous Navier--Stokes equations in critical spaces, submitted for publication.
02. Decaying unique solution to the stationary Navier--Stokes equations around a uniform flow in the whole plane, submitted for publication.
01. (with M. Fujii) Global strong solutions to the compressible Navier--Stokes--Coriolis system for large data, submitted for publication. [arXiv]
Reviewed Articles:
17. (with T. Takeuchi) Global well-posedness of the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions, Calculus of Variations and Partial Differential Equations, to appear. [arXiv]
16. (with T. Takahashi) Navier--Stokes flow in the exterior of a moving obstacle with a Lipschitz boundary, SIAM Journal on Mathematical Analysis 57 (2025), no. 2, 2071–2113. [Link]
15. (with M. Fujii) Compressible Navier--Stokes--Coriolis system in critical Besov spaces, Journal of Differential Equations 428 (2025), 747–795. [Link]
14. (with Y. Shibata) Maximal L1-regularity of the Navier--Stokes equations with free boundary conditions via a generalized semigroup theory, Journal of Differential Equations 426 (2025), 495–605. [Link]
13. Stability of rotating liquid drops with surface tension, Journal of Evolution Equations 24 (2024), 56. [Link]
12. The Helmholtz decomposition of vector fields for two-dimensional exterior Lipschitz domains, AIMS Mathematics 9 (2024), no. 7, 17886–17900. [Link]
11. Global well-posedness of the Navier--Stokes equations in homogeneous Besov spaces on the half-space, Journal of Mathematical Analysis and Applications 530 (2024), no. 1, 127680. [Link]
10. Decay estimates of gradient of the Stokes semigroup in exterior Lipschitz domains, Journal of Differential Equations 346 (2023), 277–312. [Link]
09. Stability of stationary solutions to the three-dimensional Navier--Stokes equations with surface tension, Advances in Nonlinear Analysis 12 (2023), no. 1, Paper No. 20220279. [Link]
08. Global large solutions and incompressible limit for the compressible Navier--Stokes system with capillarity, Journal of Mathematical Analysis and Applications 518 (2023), no. 1, 126675. [Link]
07. Strong time-periodic solutions to chemotaxis--Navier--Stokes equations on bounded domains, Discrete and Continuous Dynamical Systems: Series A 42 (2022), no. 11, 5577–5590. [Link]
06. Local well-posedness of incompressible viscous fluids in bounded cylinders with 90°-contact angle, Nonlinear Analysis: Real World Applications 65 (2022), 103489. [Link]
05. Stabilization of the chemotaxis–Navier–Stokes equations: Maximal regularity approach, Journal of Mathematical Analysis and Applications 504 (2021), no. 2, 125422. [Link]
04. Global solvability of compressible–incompressible two-phase flows with phase transitions in bounded domains, Mathematics 9 (2021), no. 3, 258. [Link]
03. (with P. Tolksdorf) The Navier–Stokes equations in exterior Lipschitz domains: Lp-theory, Journal of Differential Equations 269 (2020), no. 7, 5765–5801. [Link]
02. Strong solutions to compressible–incompressible two-phase flows with phase transitions, Nonlinear Analysis: Real World Applications 54 (2020), 103101. [Link]
01. Compressible-incompressible two-phase flows with phase transition: model problem, Journal of Mathematical Fluid Mechanics 20 (2018), no. 3, 969–1011. [Link]
Misc:
06. Global unique solution to the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions, RIMS Kokyuroku 2324 (2025), 17–24.
05. Navier-Stokes flow in exterior Lipschitz domains, 第44回発展方程式若手セミナー報告集 (2023), 195–202.
04. Stability of rotating liquid, 第42回発展方程式若手セミナー報告集 (2021), 265–272.
03. The Stokes operator in exterior Lipschitz domains, RIMS Kokyuroku 2168 (2020), 44–56.
02. 「Imperial College London 『MPECDT』の紹介」JSIAM Online Magazine ラボラトリーズ (2019) [Article: D1902B].
01. On the local solvability of compressible-incompressible two-phase flows with phase transitions in general domains, 第40回発展方程式若手セミナー報告集 (2018), 237–244.
Last updated: September 2, 2025