24 citations · 74 across the 13 of their papers we have counts for
14 papers
Well-posedness and Low Mach Number Limit of the Free Boundary Problem for the Euler--Fourier System
Xumin Gu, Yanjin Wang
We consider the free boundary problem for the Euler--Fourier system that describes the motion of compressible, inviscid and heat-conducting fluids. The effect of surface tension is…
Vanishing viscosity limits of compressible viscoelastic equations in half space
Xumin Gu, Dehua Wang, Feng Xie
In this paper we consider the vanishing viscosity limit of solutions to the initial boundary value problem for compressible viscoelastic equations in the half space. When the initi…
Vanishing viscosity limits for the free boundary problem of compressible viscoelastic fluids with surface tension
Xumin Gu, Yu Mei
We consider the free boundary problem of compressible isentropic neo-Hookean viscoelastic fluid equations with surface tension. Under the physical kinetic and dynamic conditions pr…
Zero Surface Tension Limit of the Free-Boundary Problem in Incompressible Magnetohydrodynamics
Xumin Gu, Chenyun Luo, Junyan Zhang
We show that the solution of the free-boundary incompressible ideal magnetohydrodynamic (MHD) equations with surface tension converges to that of the free-boundary incompressible i…
Local Well-posedness of the Free-Boundary Incompressible Magnetohydrodynamics with Surface Tension
Xumin Gu, Chenyun Luo, Junyan Zhang
We prove the local well-posedness of the 3D free-boundary incompressible ideal magnetohydrodynamics (MHD) equations with surface tension, which describe the motion of a perfect con…
Local Well-posedness of the Free Boundary Incompressible Elastodynamics with Surface Tension
Xumin Gu, Zhen Lei
In this paper, we consider a free boundary problem of the incompressible elatodynamics, a coupling system of the Euler equations for the fluid motion with a transport equation for…