87 citations · 308 across the 27 of their papers we have counts for
27 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…
Existence of Multi-dimensional Contact Discontinuities for the Ideal Compressible Magnetohydrodynamics
Yanjin Wang, Zhouping Xin
We establish the local existence and uniqueness of multi-dimensional contact discontinuities for the ideal compressible magnetohydrodynamics (MHD) in Sobolev spaces, which are most…
Global Well-posedness of Free Interface Problems for the incompressible Inviscid Resistive MHD
Yanjin Wang, Zhouping Xin
We consider the plasma-vacuum interface problem in a horizontally periodic slab impressed by a uniform non-horizontal magnetic field. The lower plasma region is governed by the inc…
Anisotropic decay and global well-posedness of viscous surface waves without surface tension
Yanjin Wang
We consider a viscous incompressible fluid below the air and above a fixed bottom. The fluid dynamics is governed by the gravity-driven incompressible Navier-Stokes equations, and…
Incompressible inviscid resistive MHD surface waves in 2D
Yanjin Wang, Zhouping Xin
We consider the dynamics of a layer of an incompressible electrically conducting fluid interacting with the magnetic field in a two-dimensional horizontally periodic setting. The u…
On the construction of solutions to the free-surface incompressible ideal magnetohydrodynamic equations
Xumin Gu, Yanjin Wang
We consider a free boundary problem for the incompressible ideal magnetohydrodynamic equations that describes the motion of the plasma in vacuum. The magnetic field is tangent and…