Global solvability of the free-boundary problem for one-dimensional motion of a self-gravitating viscous radiative and reactive gas. (English) Zbl 1152.35520

Summary: We consider a free-boundary system describing the one-dimensional motion of a self-gravitating, radiative and chemically reactive gas. 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.


35R30 Inverse problems for PDEs
35Q30 Navier-Stokes equations
76N15 Gas dynamics (general theory)
76N10 Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics
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