6 citations · 13 across the 7 of their papers we have counts for
7 papers
Global wellposedness of the 3D compressible Navier-Stokes equations with free surface in the maximal regularity class
Yoshihiro Shibata, Xin Zhang
This paper concerns the global well posedness issue of the Navier-Stokes equations (CNS) describing barotropic compressible fluid flow with free surface occupied in the three dimen…
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…
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…
The bounded operator families arising from the study of the barotropic compressible flows with free surface
Xin Zhang
In this paper, we study some model problem associated to the free boundary value problem of the barotropic compressible Navier-Stokes equations in general smooth domain with taking…
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…
On the persistence of Hölder regular patches of density for the inhomogeneous Navier-Stokes equations
Raphaël Danchin, Xin Zhang
In our recent work dedicated to the Boussinesq equations [Danchin and Zhang 2016], we established the persistence of solutions with piecewise constant temperature along interfaces…
Global persistence of geometrical structures for the boussinesq equation with no diffusion
Raphaël Danchin, Xin Zhang
Here we investigate the so-called temperature patch problem for the incompressible Boussinesq system with partial viscosity, in the whole space , where t…