Yoshihiro Shibata

activity

20232026

collaborators

3 papers

math.AP2026

Local and global well-posedness in the $L^{2}$ -setting for the Q-tensor model in $R^{N}$ and $R_{+}^{N}$

Daniele Barbera, Vladimir Georgiev, Miho Murata +1

The paper studies the Q-tensor model for nematic liquid crystals, a system that couples a Navier-Stokes equation with an evolution equation for the order parameter tensor Q. The fi…

math.AP2024

$L_{1}$ approach to the compressible viscous fluid flows in general domains

Jou-Chun Kuo, Yoshihiro Shibata

We prove the $L_{1}$ in time and $B_{q, 1}^{s + 1} \times B_{q, 1}^{s}$ in space maximal regularity for the Stokes equations in the viscous compressible fluid flows in domains in the $N$ di…

math.AP2023

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…

Local and global well-posedness in the L2-setting for the Q-tensor model in RN and R+N​

L1​ approach to the compressible viscous fluid flows in general domains

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

Local and global well-posedness in the $L^{2}$ -setting for the Q-tensor model in $R^{N}$ and $R_{+}^{N}$

$L_{1}$ approach to the compressible viscous fluid flows in general domains

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