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

被引：22

作者：

Liu, Yongqin ^{[1
]}

Wang, Weike ^{[2
]}

机构：

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

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2008年 / 245卷 / 09期

基金：

中国国家自然科学基金;

关键词：

Euler equation; Initial-boundary value problem; Well-posedness;

D O I：

10.1016/j.jde.2008.05.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

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.

引用

页码：2477 / 2503

页数：27

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