Existence of weak solutions to the three-dimensional steady compressible magnetohydrodynamic equations |
| |
Authors: | Chun Hui Zhou |
| |
Affiliation: | 1. Department of Mathematics, Southeast University, Nanjing, 210096, P. R. China 2. LCP, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing, 100088, P. R. China
|
| |
Abstract: | The purpose of this paper is to prove the existence of a spatially periodic weak solution to the steady compressible isentropic MHD equations in ?3 for any specific heat ratio γ > 1. The proof is based on the weighted estimates of both pressure and kinetic energy for the approximate system which result in some higher integrability of the density, and the method of weak convergence. According to the author’s knowledge, it is the first result that treats in three dimensions the existence of weak solutions to the steady compressible MHD equations with Γ > 1. |
| |
Keywords: | Steady compressible Magnetohydrodynamic equations existence for γ〉 1 weighted estimate viscous flux |
本文献已被 CNKI 维普 SpringerLink 等数据库收录! |
|