Global solutions to the three-dimensional full compressible magnetohydrodynamic flows
Analysis of PDEs
2009-11-13 v1 Mathematical Physics
math.MP
Abstract
The equations of the three-dimensional viscous, compressible, and heat conducting magnetohydrodynamic flows are considered in a bounded domain. The viscosity coefficients and heat conductivity can depend on the temperature. A solution to the initial-boundary value problem is constructed through an approximation scheme and a weak convergence method. The existence of a global variational weak solution to the three-dimensional full magnetohydrodynamic equations with large data is established.
Cite
@article{arxiv.0804.4510,
title = {Global solutions to the three-dimensional full compressible magnetohydrodynamic flows},
author = {Xianpeng Hu and Dehua Wang},
journal= {arXiv preprint arXiv:0804.4510},
year = {2009}
}