Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418926 | Journal of Mathematical Analysis and Applications | 2013 | 13 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Shuwei Huang,