Free boundary problem for the equation of one-dimensional motion of compressible gas with density-dependent viscosity

被引：29

作者：

Okada M. ^{[1
]}

Matušů-Nečasová Š. ^{[2
]}

Makino T. ^{[1
]}

机构：

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

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

来源：

Annali dell’Università di Ferrara | 2002年 / 48卷 / 1期

关键词：

a free boundary problem; a global weak solution; density-dependent viscosity; existence; isentropic gas; uniqueness;

D O I：

10.1007/BF02824736

中图分类号：

学科分类号：

摘要：

We consider a free boundary problem for the equation of the one-dimensional isentropic motion with density-dependent viscosity μ =bρ{variant}β, where b and β are positive constants. We prove that there exists an unique weak solution globally in time, provided that β < 1/3. © 2002 Università degli Studi di Ferrara.

引用

页码：1 / 20

页数：19

共 14 条

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