STRONG SOLUTIONS OF THE COUPLED NAVIER-STOKES-POISSON EQUATIONS FOR ISENTROPIC COMPRESSIBLE FLUIDS

被引：0

作者：

Tan Zhong ^{[1
]}

Zhang Yinghui ^{[1
,2
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

[2] Hunan Inst Sci & Technol, Dept Math, Yueyang 414006, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2010年 / 30卷 / 04期

基金：

中国国家自然科学基金;

关键词：

Strong solutions; Navier-Stokes-Poisson equations; Schauder fixed point theorem; HYDRODYNAMIC MODEL; WEAK SOLUTIONS; SEMICONDUCTORS; EXISTENCE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this article, we are concerned with the strong solutions of the coupled Navier-Stokes-Poisson equations for isentropic compressible fluids in a domain Omega subset of R-3. We prove the local existence of unique strong solutions provided that the initial data go and u(0) satisfy a nature compatibility condition. The important point in this article is that we allow the initial vacuum: the initial density may vanish in an open subset of Omega. This is achieved by getting some uniform estimates and using a Schauder fixed point theorem.

引用

页码：1280 / 1290

页数：11

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