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14 papers · 1 filter
Global Strong and Weak Solutions to the Initial-boundary-value Problem of 2D Compressible MHD System with Large Initial Data and Vacuum
Yazhou Chen, Bin Huang, Xiaoding Shi
In this paper, we study the barotropic compressible magnetohydrodynamic equations with the shear viscosity being a positive constant and the bulk one being proportional to a power…
Global Well-posedness of Classical Solutions to the Compressible Navier-Stokes-Poisson Equations with Slip Boundary Conditions in 3D Bounded Domains
Yazhou Chen, Bin Huang, Xiaoding Shi
We consider the initial-boundary-value problem of the isentropic compressible Navier-Stokes-Poisson equations subject to large and non-flat doping profile in 3D bounded domain with…
Global existence of strong solutions to the planar compressible magnetohydrodynamic equations with large initial data in unbounded domains
Boqiang Lü, Xiaoding Shi, Chengfeng Xiong
In one-dimensional unbounded domains, we consider the equations of a planar compressible magnetohydrodynamic (MHD) flow with constant viscosity and heat conductivity. More precisel…
Large-time Behavior of Magnetohydrodynamics with Temperature-Dependent Heat-Conductivity
Bin Huang, Xiaoding Shi, Ying Sun
We study the large-time behavior of strong solutions to the equations of a planar magnetohydrodynamic compressible flow with the heat conductivity proportional to a nonnegative pow…
Stability of degenerate stationary solution to the outflow problem for full Navier-Stokes equations
Yazhou Chen, Hakho Hong, Xiaoding Shi
This paper is concerned with the large-time behavior of solutions to the outflow problem of full compressible Navier-Stokes equations in the half line. This is one of the series of…
Global Strong Solutions to Magnetohydrodynamics with Density-Dependent Viscosity and Degenerate Heat-Conductivity
Bin Huang, Xiaoding Shi, Ying Sun
We deal with the equations of a planar magnetohydrodynamic compressible flow with the viscosity depending on the specific volume of the gas and the heat conductivity proportional t…