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Asymptotic behavior toward the combination of contact discontinuity with rarefaction waves for 1-D compressible viscous gas with radiation |
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| Institution: | 1. Department of Mathematics, University of Southern California, and Korea Institute for Advanced Study, Seoul, Republic of Korea;2. Yamaguchi University, Japan;1. LCP, Institute of Applied Physics and Computational Mathematics, P.O. Box 8009, Beijing 100088, PR China;2. Institute of Applied Physics and Computational Mathematics, P.O. Box 8009-28, Beijing 100088, PR China;3. Department of Mathematics, Nanjing University, Nanjing 210093, PR China;4. The Institute of Mathematical Sciences, The Chinese University of Hong Kong, Shatin, NT, Hong Kong |
| Abstract: | This paper is concerned with the large-time behavior toward the combination of two rarefaction waves and viscous contact wave for the Cauchy problem to a one-dimensional Navier–Stokes–Poisson coupled system, modeling the dynamics of a viscous gas in the presence of radiation. We show that the composite wave with small strength is asymptotically stable under partially large initial perturbations. The proofs are based on the more refined energy estimates to control the possible growth of the perturbations induced by two different waves and large data. |
| Keywords: | Asymptotic stability Compressible radiation hydrodynamics Contact discontinuity Rarefaction wave Composite wave |
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