20 citations · 96 across the 11 of their papers we have counts for
11 papers · 1 filter
Incompressible Limit of Compressible Ideal MHD Flows inside a Perfectly Conducting Wall
Jiawei Wang, Junyan Zhang
We prove the incompressible limit of compressible ideal magnetohydrodynamic(MHD) flows in a reference domain where the magnetic field is tangential to the boundary. Unlike the case…
Compressible Gravity-Capillary Water Waves with Vorticity: Local Well-Posedness, Incompressible and Zero-Surface-Tension Limits
Chenyun Luo, Junyan Zhang
We consider the 3D compressible isentropic Euler equations describing the motion of a liquid in an unbounded initial domain with a moving boundary and a fixed flat bottom at finite…
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 for the Motion of a Compressible Gravity Water Wave with Vorticity
Chenyun Luo, Junyan Zhang
In this paper we prove the local well-posedness (LWP) for the 3D compressible Euler equations describing the motion of a liquid in an unbounded initial domain with moving boundary.…
Anisotropic Regularity of the Free-Boundary Problem in Compressible Ideal Magnetohydrodynamics
Hans Lindblad, Junyan Zhang
We consider 3D free-boundary compressible ideal magnetohydrodynamic (MHD) system under the Rayleigh-Taylor sign condition. It describes the motion of a free-surface perfect conduct…
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 and Incompressible Limit of the Free-Boundary Problem in Compressible Elastodynamics
Junyan Zhang
We consider 3D free-boundary compressible elastodynamic system under the Rayleigh-Taylor sign condition. It describes the motion of an isentropic inviscid elastic medium with movin…
Local Well-posedness of the Free-Boundary Problem in Compressible Resistive Magnetohydrodynamics
Junyan Zhang
We prove the local well-posedness in Sobolev spaces of the free-boundary problem for compressible inviscid resistive isentropic MHD system under the Rayleigh-Taylor physical sign c…
A priori Estimates for the Free-Boundary problem of Compressible Resistive MHD Equations and Incompressible Limit
Junyan Zhang
In this paper, we prove the a priori estimates in Sobolev spaces for the free-boundary compressible inviscid magnetohydrodynamics equations with magnetic diffusion under the Raylei…
A priori Estimates for the Incompressible Free-Boundary Magnetohydrodynamics Equations with Surface Tension
Chenyun Luo, Junyan Zhang
We consider the three-dimensional incompressible free-boundary magnetohydrodynamics (MHD) equations in a bounded domain with surface tension on the boundary. We establish a priori…
A Regularity Result for the Incompressible Magnetohydrodynamics Equations with Free Surface Boundary
Chenyun Luo, Junyan Zhang
We consider the three-dimensional incompressible magnetohydrodynamics (MHD) equations in a bounded domain with small volume and free moving surface boundary. We establish a priori…