4 citations · 5 across the 7 of their papers we have counts for
7 papers · 2 filters
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 Solution for Gas-Liquid Flow of 1-D van der Waals Equation of State with Large Initial Data
Qiaolin He, Ming Mei, Xiaoding Shi +1
This paper is concerned with a diffuse interface model for the gas-liquid phase transition. The model consists the compressible Navier-Stokes equations with van der Waals equation…
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…
Global Strong Solutions to Compressible Navier-Stokes System with Degenerate Heat Conductivity and Density-Depending Viscosity
Bin Huang, Xiaoding Shi, Ying Sun
We consider the compressible Navier-Stokes system where the viscosity depends on density and the heat conductivity is proportional to a positive power of the temperature under stre…
Nonlinearly Exponential Stability of Compressible Navier-Stokes System with Degenerate Heat-Conductivity
Bin Huang, Xiaoding Shi
We study the large-time behavior of strong solutions to the one-dimensional, compressible Navier-Stokes system for a viscous and heat conducting ideal polytropic gas, when the visc…
Exponential Decay for Lions-Feireisl's Weak Solutions to the Barotropic Compressible Navier-Stokes Equations in 3D Bounded Domains
Yan-Fang Peng, Xiaoding Shi
For barotropic compressible Navier-Stokes equations in three-dimensional (3D) bounded domains, we prove that any finite energy weak solution obtained by Lions [Mathematical topics…