Keiichi Watanabe

collaborators

2 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 $Î©\subset \mathbb{R}…

math.AP2025

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

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