Self-similar solutions to the isothermal compressible Navier-Stokes equations

被引：0

作者：

Guo, Zhenhua ^{[1
]}

Jiang, Song

机构：

[1] Huazhong Normal Univ, Dept Math, Lab Nonlinear Analysis, Wuhan 430079, Peoples R China

[2] Inst Appl Phys & Computat Math, LCP, Beijing 100088, Peoples R China

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2006年 / 71卷 / 05期

基金：

中国国家自然科学基金;

关键词：

self-similar solutions; isothermal compressible flows; Navier-Stokes equations;

D O I：

10.1093/imamat/hxl013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We investigate the self-similar solutions to the isothermal compressible Navier-Stokes equations. The aim of this paper is to show that there exist neither forward nor backward self-similar solutions with finite total energy. This generalizes the results for the incompressible case in Necas, J., Ruzicka, M. & Sverak, V. (1996, On Leray's self-similar solutions of the Navier-Stokes equations. Acta. Math., 176, 283-294), and is consistent with the (unproved) existence of regular solutions globally in time for the compressible Navier-Stokes equations.

引用

页码：658 / 669

页数：12

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