Global solution for a one-dimensional model problem in thermally radiative magnetohydrodynamics |
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Authors: | Jianwen Zhang Feng Xie |
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Institution: | a School of Mathematical Sciences, Xiamen University, Xiamen 361005, China b LCP, Institute of Applied Physics and Computational Mathematics, PO Box 8009, Beijing 100088, China |
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Abstract: | The dynamics of gaseous stars is often described by magnetic fields coupled to self-gravitation and radiation effects. In this paper we consider an initial-boundary value problem for nonlinear planar magnetohydrodynamics (MHD) in the case that the effect of self-gravitation as well as the influence of radiation on the dynamics at high temperature regimes are taken into account. Based on the fundamental local existence results and global-in-time a priori estimates, we establish the global existence of a unique classical solution with large initial data to the initial-boundary value problem under quite general assumptions on the heat conductivity. |
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Keywords: | 35B45 35L65 35Q60 76N10 |
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