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.

引用

页码：2076 / 2127

页数：52

共 50 条

[1] Global Existence of a Shock for the Supersonic Flow Past a Curved Wedge
Hui Cheng YIN Department of Mathematics
[J]. Acta Mathematica Sinica,English Series, 2006, 22 (05) : 1425 - 1432
[2] Global existence of a shock for the supersonic flow past a curved wedge
Yin, Hui Cheng
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2006, 22 (05) : 1425 - 1432
[3] Global Existence of a Shock for the Supersonic Flow Past a Curved Wedge
Hui Cheng Yin
[J]. Acta Mathematica Sinica, 2006, 22 : 1425 - 1432
[4] Global existence of steady supersonic potential flow past a curved wedge with a piecewise smooth boundary
Zhang, YQ
[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1999, 31 (01) : 166 - 183
[5] The uniqueness of transonic shocks in supersonic flow past a 2-D wedge
Fang, Beixiang
Xiang, Wei
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2016, 437 (01) : 194 - 213
[6] THE PROBLEM FOR THE SUPERSONIC PLANE FLOW PAST A CURVED WEDGE
Wang, Li
[J]. ACTA MATHEMATICA SCIENTIA, 2015, 35 (03) : 681 - 689
[7] THE PROBLEM FOR THE SUPERSONIC PLANE FLOW PAST A CURVED WEDGE
王丽
[J]. Acta Mathematica Scientia, 2015, 35 (03) : 681 - 689
[8] An inverse problem for supersonic flow past a curved wedge
Li, Qianfeng
Zhang, Yongqian
[J]. NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2022, 66
[9] The supersonic flow past a wedge with large curved boundary
Hu, Dian
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2018, 462 (01) : 380 - 389
[10] On global transonic shocks for the steady supersonic Euler flows past sharp 2-D wedges
Yin Huicheng
Zhou Chunhui
[J]. JOURNAL OF DIFFERENTIAL EQUATIONS, 2009, 246 (11) : 4466 - 4496

← 1 2 3 4 5 →