Free boundary problem for the equation of spherically symmetric motion of viscous gas (III)

被引：0

作者：

Matušů-Nečasová Š. ^{[1
]}

Okada M. ^{[2
]}

Makino T. ^{[2
]}

机构：

[1] Mathematical Institute, Academy of Sciences, Czech Republic, 115 67 Praha 1

[2] Department of Applied Science, Faculty of Engineering, Yamaguchi University

来源：

Japan Journal of Industrial and Applied Mathematics | 1997年 / 14卷 / 2期

关键词：

Asymptotic stability of equilibria; Free boundary problem; Navier-Stokes equation; Spherically symmetric motion;

D O I：

10.1007/BF03167264

中图分类号：

学科分类号：

摘要：

We study the spherically symmetric motion of viscous barotropic gas surrounding a solid ball. We are interested in the density distribution which contacts the vacuum at a finite radius. The equilibrium is asymptotically stable with respect to small perturbation, provided that γ > 4/3 and a is sufficiently small, when the equation of state is p = ap γ , p being the pressure and p the density.

引用

页码：199 / 213

页数：14

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