12 citations · 44 across the 23 of their papers we have counts for
4 papers · 1 filter
Global well posedness for a Q-tensor model of nematic liquid crystals
Miho Murata, Yoshihiro Shibata
In this paper, we prove the global well posedness and the decay estimates for a -tensor model of nematic liquid crystals in , . This system is cou…
New thought on Matsumura-Nishida theory in the - maximalregularity framework
Yoshihiro Shibata
In this paper, we prove the global wellposedness of the Navier-Stokes equations describing a motion of compressible, viscous, barotropic fluid flow in a 3 dim. exterior domain in t…
Local Well-posedness for Free Boundary Problem of Viscous Incompressible Magnetohydrodynamics
Kenta Oishi, Yoshihiro Shibata
In this paper, we consider the motion of incompressible magnetohydrodynamics (MHD) with resistivity in a domain bounded by a free surface. The free boundary problem for MHD is an i…
The - decay estimate for the multidimensional compressible flow with free surface in the exterior domain
Yoshihiro Shibata, Xin Zhang
The aim of this paper is to develop the general theory for the barotropic compressible Navier-Stokes equations with the free boundary condition in the exterior domain in $\ma…