Keiichi Watanabe

activity

20232025

L_{1}

-regularity of the Navier-Stokes equations with free boundary conditions via a generalized semigroup theory

5 citations · 5 across the 3 of their papers we have counts for

collaborators

3 papers

math.AP2025

Global well-posedness for the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions

Taiki Takeuchi, Keiichi Watanabe

In this paper, we consider the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions in a bounded smooth (and not necessarily convex) domain $Ω\subset \mathbb{R}^…

math.AP2024

Navier--Stokes flow in the exterior of a moving obstacle with a Lipschitz boundary

Tomoki Takahashi, Keiichi Watanabe

Consider the three-dimensional Navier--Stokes flow past a moving rigid body $O \subset R^{3}$ with prescribed translational and angular velocities, where $\mathscr…

math.AP2023★ 5 cited

Maximal $L_{1}$ -regularity of the Navier-Stokes equations with free boundary conditions via a generalized semigroup theory

Yoshihiro Shibata, Keiichi Watanabe

This paper develops a new approach to show the maximal regularity theorem of the Stokes equations with free boundary conditions in the half-space $R_{+}^{d}$ , $d \geq 2$ , within…

Global well-posedness for the Keller--Segel--Navier--Stokes system with nonlinear boundary conditions

Navier--Stokes flow in the exterior of a moving obstacle with a Lipschitz boundary

Maximal L1​-regularity of the Navier-Stokes equations with free boundary conditions via a generalized semigroup theory

Maximal $L_{1}$ -regularity of the Navier-Stokes equations with free boundary conditions via a generalized semigroup theory