Decay rates to the planar rarefaction waves for a model system of the radiating gas in n dimensions |
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Authors: | Wenliang Gao |
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Affiliation: | Laboratory of Nonlinear Analysis, Department of Mathematics, Central China Normal University, Wuhan 430079, PR China |
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Abstract: | In this paper, we study the asymptotic decay rates to the planar rarefaction waves to the Cauchy problem for a hyperbolic-elliptic coupled system called as a model system of the radiating gas in Rn (n=3,4,5) if the initial perturbations corresponding to the planar rarefaction waves are sufficiently small in (H2∩L1∩W2,6) (Rn). The analysis is based on the Lp-energy method and several special interpolation inequalities. |
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Keywords: | 35L65 35B40 35B45 |
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