Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X

   
 
 

 

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


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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Additional Information

Peng Jiang
Affiliation: Department of Mathematics, Shanghai Jiao Tong University, Shanghai 200240, People’s Republic of China, and Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
Email: syepmathjp@yahoo.com.cn

Dehua Wang
Affiliation: Department of Mathematics, University of Pittsburgh, Pittsburgh, Pennsylvania 15260
Email: dwang@math.pitt.edu

DOI: https://doi.org/10.1090/S0033-569X-2011-01227-2
Keywords: Radiation hydrodynamics, Euler equations, Boltzmann equation, global weak entropy solution, Godunov scheme, compensated compactness
Received by editor(s): April 2, 2010
Published electronically: August 26, 2011
Article copyright: © Copyright 2011 Brown University
The copyright for this article reverts to public domain 28 years after publication.

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