12 citations · 21 across the 11 of their papers we have counts for
11 papers
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…
Time-decay estimates for linearized two-phase Navier-Stokes equations with surface tension and gravity
Hirokazu Saito
The aim of this paper is to show time-decay estimates of solutions to linearized two-phase Navier-Stokes equations with surface tension and gravity. The original two-phase Navier-S…
On the global wellposedness of free boundary problem for the Navier-Stokes system with surface tension
Hirokazu Saito, Yoshihiro Shibata
The aim of this paper is to show the global wellposedness of the Navier-Stokes equations, including surface tension and gravity, with a free surface in an unbounded domain such as…
Unique solvability of elliptic problems associated with two-phase incompressible flows in unbounded domains
Hirokazu Saito, Xin Zhang
This paper shows the unique solvability of elliptic problems associated with two-phase incompressible flows, which are governed by the two-phase Navier-Stokes equations, in unbound…
Existence of -bounded solution operator families for a compressible fluid model of Korteweg type on the half-space
Hirokazu Saito
The aim of this paper is to show the existence of -bounded solution operator families for a generalized resolvent problem on the half-space arising from a compressible…
Some free boundary problem for two phase inhomogeneous incompressible flow
Hirokazu Saito, Yoshihiro Shibata, Xin Zhang
In this paper, we establish some local and global solutions for the two phase incompressible inhomogeneous flows with moving interfaces in maximal regularity class. Compa…
Global solvability of the Navier-Stokes equations with a free surface in the maximal regularity class
Hirokazu Saito
We consider the motion of incompressible viscous fluids bounded above by a free surface and below by a solid surface in the -dimensional Euclidean space for when the g…
Compressible fluid model of Korteweg type with free boundary condition: model problem
Hirokazu Saito
The aim of this paper is to prove the existence of -bounded solution operator families for a resolvent problem on the upper half-space arising from a compressible flu…
On the -boundedness of solution operator families for two-phase Stokes resolvent equations
Sri Maryani, Hirokazu Saito
The aim of this paper is to show the existence of -bounded solution operator families for two-phase Stokes resolvent equations in , where are…
Strong solutions for two-phase free boundary problems for a class of non-Newtonian fluids
Matthias Hieber, Hirokazu Saito
Consider the two-phase free boundary problem subject to surface tension and gravitational forces for a class of non-Newtonian fluids with stress tensors of the form $T_i=-πI+…
On decay properties of solutions to the Stokes equations with surface tension and gravity in the half space
Hirokazu Saito, Yoshihiro Shibata
In this paper, we proved decay properties of solutions to the Stokes equations with surface tension and gravity in the half space $\mathbf{R}_{+}^{N}=\{(x',x_N)\mid x'\in\mathbf{R}…