GLOBAL MULTIDIMENSIONAL SHOCK WAVE FOR THE STEADY SUPERSONIC FLOW PAST A THREE-DIMENSIONAL CURVED CONE

被引：24

作者：

Xin, Zhouping ^{[1
,2
,3
]}

Yin, Huicheng ^{[1
,4
,5
]}

机构：

[1] CUHK, Inst Math Sci, Shatin, Hong Kong, Peoples R China

[2] CUHK, Dept Math, Shatin, Hong Kong, Peoples R China

[3] Northwest Univ, Ctr Nonlinear Studies, Xian, Peoples R China

[4] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

[5] Nanjing Univ, IMS, Nanjing 210093, Jiangsu, Peoples R China

来源：

ANALYSIS AND APPLICATIONS | 2006年 / 4卷 / 02期

关键词：

Steady potential flow equation; supersonic flow; hypersonic flow; multidimensional shock wave; global existence;

D O I：

10.1142/S0219530506000747

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the global existence and stability of a multidimensional conic shock wave for three-dimensional steady supersonic flow past an infinite cone. The flow is assumed to be hypersonic and described by a steady potential flow equation. Under an appropriate boundary condition on the curved cone, we show that a pointed shock attached at the vertex of the cone will exist globally in the whole space.

引用

页码：101 / 132

页数：32

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