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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…
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…
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…
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…
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…