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Asymptotic stability of a composite wave of two viscous shock waves for the one-dimensional radiative Euler equations |
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| Authors: | Lili Fan Lizhi Ruan Wei Xiang |
| Affiliation: | 1. School of Mathematics and Computer Science, Wuhan Polytechnic University, Wuhan 430023, China;2. The Hubei Key Laboratory of Mathematical Physics, School of Mathematics and Statistics, Central China Normal University, Wuhan 430079, China;3. Department of Mathematics, City University of Hong Kong, Tat Chee Avenue, Kowloon, Hong Kong |
| Abstract: | This paper is devoted to the study of the wellposedness of the radiative Euler equations. By employing the anti-derivative method, we show the unique global-in-time existence and the asymptotic stability of the solutions of the radiative Euler equations for the composite wave of two viscous shock waves with small strength. This method developed here is also helpful to other related problems with similar analytical difficulties. |
| Keywords: | 35B35 35M20 35L67 35Q35 Radiative Euler equations Viscous shock waves Diffusion wave Stability |
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