Global existence of solutions for compressible Navier-Stokes equations with vacuum

被引：3

作者：

Qin, Xulong ^{[1
]}

Yao, Zheng-an ^{[1
]}

Zhou, Wenshu ^{[2
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Peoples R China

[2] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 340卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Navier - Stokes equations; free boundary; vacuum; existence;

D O I：

10.1016/j.jmaa.2007.08.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we will investigate the global existence of solutions for the one-dimensional compressible Navier - Stokes equations when the density is in contact with vacuum continuously. More precisely, the viscosity coefficient is assumed to be a power function of density, i.e., mu(rho)=A rho(theta), where A and theta are positive constants. New global existence result is established for 0 <theta < 1 when the initial density appears vacuum in the interior of the gas, which is the novelty of the presentation. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：226 / 238

页数：13

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