LOCAL EXISTENCE OF SOLUTION TO FREE BOUNDARY VALUE PROBLEM FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS

被引：0

作者：

Jian, Liu ^{[1
]}

机构：

[1] Capital Normal Univ, Dept Math, Beijing 100048, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2012年 / 32卷 / 04期

关键词：

Navier-Stokes equations; free boundary value problem; local existence; DENSITY-DEPENDENT VISCOSITY; GENERAL PRESSURE; VACUUM PROBLEM; SHALLOW-WATER; COEFFICIENTS; DERIVATION; BEHAVIOR; SYSTEM;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the free boundary value problem for multidimensional Navier-Stokes equations with density-dependent viscosity where the flow density vanishes continuously across the free boundary. Local (in time) existence of a weak solution is established; in particular, the density is positive and the solution is regular away from the free boundary.

引用

页码：1298 / 1320

页数：23

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