Blow-up of smooth solutions to the Navier-Stokes-Poisson equations

被引：5
作者：
Xie, Huazhao [1 ]
机构：
[1] Huazhong Normal Univ, Dept Math, Wuhan 430079, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2011年 / 34卷 / 02期
关键词：
Navier-Stokes-Poisson equations; blow-up; smooth solution; viscous heat-conduction;
D O I：
10.1002/mma.1353
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main purpose of this paper is concerned with blow-up smooth solutions to Navier-Stokes-Poisson (N-S-P) equations. First, we present a sufficient condition on the blow up of smooth solutions to the N-S-P system. Then we construct a family of analytical solutions that blow up in finite time. Copyright (C) 2010 John Wiley & Sons, Ltd.
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页码：242 / 248
页数：7
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