Global solution to the one-dimensional equations for a self-gravitating viscous radiative and reactive gas |
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Authors: | Morimichi Umehara |
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Institution: | Department of Mathematics, Keio University, Yokohama 223-8522, Japan |
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Abstract: | In this paper we consider a system of equations describing a motion of a self-gravitating one-dimensional gaseous medium in the presence of radiation and reacting process. By introducing Lagrangian mass coordinate, this free-boundary problem is reduced to the problem in a fixed domain with an explicit gravitational term. Based on the fundamental local existence result and a priori estimates, we can construct a classical unique global solution. |
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Keywords: | 35Q30 35R30 35R76 35N10 |
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