Existence results for viscous polytropic fluids with vacuum

被引：210

作者：

Cho, Yonggeun ^{[1
]}

Kim, Hyunseok

机构：

[1] Hokkaido Univ, Dept Math, Sapporo, Hokkaido 0600810, Japan

[2] Korea Inst Adv Study, Sch Math, Seoul 130722, South Korea

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年 / 228卷 / 02期

基金：

日本学术振兴会;

关键词：

viscous polytropic fluids; compressible Navier-Stokes equations; vacuum;

D O I：

10.1016/j.jde.2006.05.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the full Navier-Stokes equations for viscous polytropic fluids with nonnegative thermal conductivity. We prove the existence of unique local strong solutions for all initial data satisfying some compatibility condition. The initial density need not be positive and may vanish in an open set. Moreover our results hold for both bounded and unbounded domains. (c) 2006 Elsevier Inc. All rights reserved.

引用

页码：377 / 411

页数：35

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