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Evolution of a self-gravitating Rosseland gas in one dimension. (English) Zbl 0838.76079

Summary: We prove the existence of a global solution, for the evolution of a self-gravitating radiative gas (Rosseland’s model) in one space dimension. We then show that, for large time, the solution converges to the isothermal solution of the corresponding stationary problem.

MSC:

76N15 Gas dynamics (general theory)
85A30 Hydrodynamic and hydromagnetic problems in astronomy and astrophysics
85A15 Galactic and stellar structure
85A25 Radiative transfer in astronomy and astrophysics
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