Abstract
In this paper we consider a system of equations describing the one-dimensional motion of a self-gravitating, radiative and chemically reactive gas having the free-boundary. For arbitrary large, smooth initial data we prove the unique existence, global in time, of a classical solution of the corresponding problem with fixed domain, obtained by the Lagrangian mass transformation.
Citation
Atusi Tani. Morimichi Umehara. "Global solvability of the free-boundary problem for one-dimensional motion of a self-gravitating viscous radiative and reactive gas." Proc. Japan Acad. Ser. A Math. Sci. 84 (7) 123 - 128, July 2008. https://doi.org/10.3792/pjaa.84.123
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