3 papers
math.AP2022
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…
math.AP2021
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…
math.AP2020
A solution formula and the R-boundedness for the generalized Stokes resolvent problem in an infinite layer with Neumann boundary condition
Kenta Oishi
We consider the generalized Stokes resolvent problem in an infinite layer with Neumann boundary conditions. This problem arises from a free boundary problem describing the motion o…