2 citations · 5 across the 8 of their papers we have counts for
13 papers
Periodic Lp estimates by R-boundedness: Applications to the Navier-Stokes equations
Thomas Eiter, Mads Kyed, Yoshihiro Shibata
General evolution equations in Banach spaces are investigated. Based on an operator-valued version of de Leeuw's transference principle, time-periodic estimates of maximal re…
On the global well-posedness and decay of a free boundary problem of the Navier-Stokes equation in unbounded domains
Kenta Oishi, Yoshihiro Shibata
In this paper, we establish the unique existence and some decay properties of a global solution of a free boundary problem of the incompressible Navier-Stokes equations in in…
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…
Local Well-posedness for the Magnetohydrodynamics in the different two liquids case
Elena Frolova, Yoshihiro Shibata
We prove the local well-posedness for a two phase problem of magnetohydrodynamics with a sharp interface. The solution is obtained in the maximal regularity space: $H^1_p((0, T), L…
Falling drop in an unbounded liquid reservoir: Steady-state solutions
Thomas Eiter, Mads Kyed, Yoshihiro Shibata
The equations governing the motion of a three-dimensional liquid drop moving freely in an unbounded liquid reservoir under the influence of a gravitational force are investigated.…