GLOBAL EXISTENCE OF STRONG SOLUTIONS OF NAVIER-STOKES EQUATIONS WITH NON-NEWTONIAN POTENTIAL FOR ONE-DIMENSIONAL ISENTROPIC COMPRESSIBLE FLUIDS

被引：0

作者：

袁洪君 ^{[1
]}

柳洪志 ^{[1
,2
]}

桥节增 ^{[2
]}

李梵蓓 ^{[2
]}

机构：

[1] Institute of Mathematics, Jilin University,Changchun 130012, China

[2] Inner Mongolia Finance and Economics College,Huhhot 010051, China

来源：

Acta Mathematica Scientia | 2012年 / 32卷 / 04期

关键词：

Navier-Stokes equations; isentropic compressible fluids; global strong solutions; vacuum; non-Newtonian potential;

D O I：

暂无

中图分类号：

O35 [流体力学]; O175 [微分方程、积分方程];

学科分类号：

070104 ; 080103 ; 080704 ;

摘要：

The aims of this paper are to discuss global existence and uniqueness of strong solution for a class of isentropic compressible navier-Stokes equations with non-Newtonian in one-dimensional bounded intervals. We prove two global existence results on strong solutions of isentropic compressible Navier-Stokes equations. The first result shows only the existence. And the second one shows the existence and uniqueness result based on the first result, but the uniqueness requires some compatibility condition.

引用

页码：1467 / 1486

页数：20

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