Stability of rarefaction wave for a macroscopic model derived from the Vlasov-Maxwell-Boltzmann system |
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Authors: | Yongting HUANG Hongxia LIU |
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Affiliation: | Department of Mathematics, City University of Hong Kong, Hong Kong, China;Department of Mathematics, Jinan University, Guangzhou 510632, China |
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Abstract: | In this article, we are concerned with the nonlinear stability of the rarefaction wave for a one-dimensional macroscopic model derived from the Vlasov-Maxwell-Boltzmann system. The result shows that the large-time behavior of the solutions coincides with the one for both the Navier-Stokes-Poisson system and the Navier-Stokes system. Both the time-decay property of the rarefaction wave profile and the influence of the electromagnetic field play a key role in the analysis. |
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Keywords: | Vlasov-Maxwell-Boltzmann system rarefaction wave energy method 35B40 35Q20 35Q61 |
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