Publications

A list of my publications is also available at MathSciNet, ORCID, Google Scholar, Scopus, Web of Science, and researchmap.

Preprints :

04. (with T. Takeuchi) Global well-posedness of the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions, submitted for publication.

03. (with T. Takahashi) Navier--Stokes flow in the exterior of a moving obstacle with a Lipschitz boundary, submitted for publication. [arXiv]

02. (with Y. Shibata) Maximal L1-regularity of the Navier--Stokes equations with free boundary conditions via a generalized semigroup theory, submitted for publication. [arXiv]

01. (with M. Fujii) Compressible Navier-Stokes -Coriolis system in critical Besov spaces, submitted for publication.

Reviewed Articles:

13. Stability of rotating liquid drops with surface tension, J. Evol. Equ., to appear.

12. The Helmholtz decomposition of vector fields for two-dimensional exterior Lipschitz domains, AIMS Math. 9 (2024), no. 7, 17886–17900. [Link]

11. Global well-posedness of the Navier--Stokes equations in homogeneous Besov spaces on the half-space,  J. Math. Anal. Appl. 530 (2024), no. 1, 127680. [Link]

10. Decay estimates of gradient of the Stokes semigroup in exterior Lipschitz domains,  J. Differential Equations 346 (2023), 277–312. [Link]

09. Stability of stationary solutions to the three-dimensional Navier--Stokes equations with surface tension, Adv. Nonlinear Anal. 12 (2023), no. 1, Paper No. 20220279. [Link]

08. Global large solutions and incompressible limit for the compressible Navier--Stokes system with capillarity,  J. Math. Anal. Appl. 518 (2023), no. 1, 126675. [Link]

07. Strong time-periodic solutions to chemotaxis--Navier--Stokes equations on bounded domains, Discrete and Continuous Dynamical Systems 42 (2022), no. 11, 5577–5590.  [Link]

06. Local well-posedness of incompressible viscous fluids in bounded cylinders with 90°-contact angle, Nonlinear Anal. Real World Appl. 65 (2022), 103489. [Link]

05. Stabilization of the chemotaxis–Navier–Stokes equations: Maximal regularity approach, J. Math. Anal. Appl. 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, J. Differential Equations 269 (2020), no. 7, 5765–5801. [Link]

02. Strong solutions to compressible–incompressible two-phase flows with phase transitions, Nonlinear Anal. Real World Appl. 54 (2020), 103101. [Link]

01. Compressible-incompressible two-phase flows with phase transition: model problem, J. Math. Fluid Mech. 20 (2018), no. 3, 969–1011. [Link]

Misc:

04. 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.

03. Stability of rotating liquid, 第42回発展方程式若手セミナー報告集 (2021), 265–272.

02. The Stokes operator in exterior Lipschitz domains, RIMS Kokyuroku 2168 (2020), 44–56.

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: Jun. 3, 2024