Large-time Behavior of Magnetohydrodynamics with Temperature-Dependent Heat-Conductivity
Analysis of PDEs
2019-10-15 v1
Abstract
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 power of the temperature. Both the specific volume and the temperature are proved to be bounded from below and above independently of time. Moreover, it is shown that the global strong solution is nonlinearly exponentially stable as time tends to infinity. Our result can be regarded as a natural generalization of the previous ones for the compressible Navier-Stokes system to MHD system with either constant heat-conductivity or nonlinear and temperature-dependent heat-conductivity.
Keywords
Cite
@article{arxiv.1910.05579,
title = {Large-time Behavior of Magnetohydrodynamics with Temperature-Dependent Heat-Conductivity},
author = {Bin Huang and Xiaoding Shi and Ying Sun},
journal= {arXiv preprint arXiv:1910.05579},
year = {2019}
}
Comments
27 pages