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Convergence to the rarefaction wave for a model of radiating gas in one-dimension

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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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Authors and Affiliations

  1. Academy Mathematics and Systems Science, the Chinese Academy of Sciences, Beijing, 100190, China

    Fei-min Huang

  2. College of Mathematics and Statistics, Shenzhen University, Shenzhen, 518060, China

    Xing Li

Authors
  1. Fei-min Huang
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  2. Xing Li
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Correspondence to Xing Li.

Additional information

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

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