Well-posedness of the IBVP for 2-D Euler equations with damping |
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Authors: | Yongqin Liu Weike Wang |
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Institution: | a School of Mathematical Sciences, Fudan University, Shanghai, China b Department of Mathematics, Shanghai Jiao Tong University, Shanghai, China |
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Abstract: | In this paper we focus on the initial-boundary value problem of the 2-D isentropic Euler equations with damping. We prove the global-in-time existence of classical solution to the initial-boundary value problem for small smooth initial data by the method of local existence of solution combined with a priori energy estimates, where the appropriate boundary condition plays an important role. |
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Keywords: | 35A05 35L45 |
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