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.
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页码：226 / 238
页数：13
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