Well-posedness of the IBVP for 2-D Euler equations with damping

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:245

Article

Liu, Yongqin¹  Wang, Weike² 

[1] Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China

[2] Shanghai Jiao Tong Univ, Dept Math, Shanghai 200030, Peoples R China

关键词: Euler equation;    Initial-boundary value problem;    Well-posedness;   

DOI  :  10.1016/j.jde.2008.05.007

来源: Elsevier

【 摘 要 】

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. (C) 2008 Elsevier Inc. All rights reserved.

【 授权许可】

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