4 papers · 1 filter
The stability of Sobolev norms for the linear wave equation with unbounded perturbations
Yingte Sun
In this paper, we prove that the Sobolev norm of solutions of the linear wave equation with unbounded perturbations of order one stay bounded for the all time. The main proof is ba…
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…
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…