Global weak solutions to the Euler-Boltzmann equations in radiation hydrodynamics

Jiang, Peng; Wang, Dehua

doi:10.1090/S0033-569X-2011-01227-2

Authors: Peng Jiang and Dehua Wang
Journal: Quart. Appl. Math. 70 (2012), 25-44
MSC (2000): Primary 41A63, 78A40, 76N15, 76X05, 74G25, 54D30
DOI: https://doi.org/10.1090/S0033-569X-2011-01227-2
Published electronically: August 26, 2011
MathSciNet review: 2920613
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Abstract: The Cauchy problem for the one-dimensional Euler-Boltzmann equations in radiation hydrodynamics is studied. The global weak entropy solutions are constructed using the Godunov finite difference scheme. The global existence of weak entropy solutions in $L^\infty$ with arbitrarily large initial data is established with the aid of the compensated compactness method.

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