Abstract
In this paper, a sequence of solutions to the one-dimensional motion of a radiating gas are constructed. Furthermore, when the absorption coefficient α tends to ∞, the above solutions converge to the rarefaction wave, which is an elementary wave pattern of gas dynamics, with a convergence rate \(\alpha ^{ - \tfrac{1} {3}} \left| {\ln \alpha } \right|^2\).
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Supported in part by NSFC Grant No. 10825102 for Outstanding Young scholars, National Basic Research Program of China (973 Program), No.2011CB808002, Youth foundation of Chinese NSF 11301344.
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Huang, Fm., Li, X. Convergence to the rarefaction wave for a model of radiating gas in one-dimension. Acta Math. Appl. Sin. Engl. Ser. 32, 239–256 (2016). https://doi.org/10.1007/s10255-016-0576-7
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DOI: https://doi.org/10.1007/s10255-016-0576-7