A regularizing effect of radiation in one-dimensional compressible MHD equations

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

卷:398

Article

Huang, Shuwei

关键词: Compressible MHD equations;    Thermal radiation;    Regularizing effect;    Global classical solution;   

DOI  :  10.1016/j.jmaa.2012.08.059

来源: Elsevier

【 摘 要 】

This paper is concerned with the global existence of classical solutions to an initial-boundary value problem of the one-dimensional (1D) equations of compressible radiative magnetohydrodynamics (MHD). The key point here is that there is no growth restriction imposed on the heat conductivity, in particular, the heat-conducting coefficient is allowed to be a positive constant. This in particular implies that the radiation is indeed a mathematically regularizing effect on the fluid dynamics, since the global existence of the classical solution to the one-dimensional full perfect MHD equations without radiation is still unknown when all the viscosity, magnetic diffusivity and heat conductivity coefficients are constant. (C) 2012 Elsevier Inc. All rights reserved.

【 授权许可】

Free