Asymptotic behavior of the compressible viscous potential fluid: Renormalization group approach

被引：0

作者：

Lan, CY ^{[1
]}

Lin, CK

机构：

[1] Acad Sinica, Math Inst, Taipei 11529, Taiwan

[2] Natl Chung Cheng Univ, Dept Math, Tainan 701, Taiwan

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2004年 / 11卷 / 01期

关键词：

slight compressible potential flow; renormalization group; wave group; reaction convection diffusion system; incompressible limit;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article we apply the renormalization group method to study the potential flows of a compressible viscous fluid at small Reynolds number. The derived renormalization equation of order one is a system of reaction convection diffusion equations. The global existence and uniqueness of the weak solutions satisfying the energy inequality are proved following the methodology of Leray. The comparison between the exact solution and its approximation is also discussed.

引用

页码：161 / 188

页数：28

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