most cited approach to the compressible viscous fluid flows in the half-space

1 citations · 1 across the 5 of their papers we have counts for

collaborators

6 papers

math.AP2025

Free Boundary Problem for inhomogeneous Navier-Stokes equations

Piotr B. Mucha, Tomasz Piasecki, Yoshihiro Shibata

We study free boundary problems for incompressible inhomogeneous flows governed by the Navier--Stokes equations, focusing on the regularity and global-in-time well-posedness of sol…

math.AP2025

The global well-posedness for the Q-tensor model of nematic liquid crystals in the half-space

Daniele Barbera, Miho Murata, Yoshihiro Shibata

In this paper, we consider the Q-tensor model of nematic liquid crystals, which couples the Navier-Stokes equations with a parabolic-type equation describing the evolution of the d…

math.AP2025

On the -maximal regularity in the study of free boundary problem for the compressible fluid flows

Yuko Enomoto, Yoshihiro Shibata

In this paper, we consider the Stokes equations with non-homogeneous free boundary conditions, which is obtained by the linearization procedure of the free boundary problem of the…

math.AP2023★ 1 cited

approach to the compressible viscous fluid flows in the half-space

Jou Chun Kuo, Yoshihiro Shibata

In this paper, we proved the local well-posedness for the Navier-Stokes equtions describing the motion of isotropic barotoropic compressible viscous fluid flow with non-slip bounda…

math.AP2023

approach to the compressible viscous fluid flows in the half-space

Jou chun Kuo, Yoshihiro Shibata

In this paper, we prove the local well-posedness for the Navier-Stokes equations describing the motion of isotropic barotoropic compressible viscous fluid flow with non-slip bounda…

math.AP2023

Global solvability for viscous free surface flows of infinite depth in three and higher dimensions

Hirokazu Saito, Yoshihiro Shibata

This paper is concerned with the global solvability for the Navier-Stokes equations describing viscous free surface flows of infinite depth in three and higher dimensions. We first…