Global existence of shock for the supersonic Euler flow past a curved 2-D wedge

被引：1
|
作者：
Hu, Dian [1 ]
机构：
[1] Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China
来源：
JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 254卷 / 05期
关键词：
Full steady Euler system; Compressible flow; Free boundary; Supersonic shock; Global classical solution; CLASSICAL-SOLUTIONS; STABILITY;
D O I：
10.1016/j.jde.2012.11.014
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we study the global existence of the supersonic shock for the steady supersonic Euler flow past a curved 2-D wedge. By using the method of characteristic, we show that the shock exists globally and the flow between the shock and wedge is continuous provided the wedge is a small perturbation of a straight wedge under a weighted global Sobolev norm and the vertex angle is less than the extreme angle. (c) 2012 Elsevier Inc. All rights reserved.
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页码：2076 / 2127
页数：52
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