Global existence of weak solution for the compressible Navier-Stokes-Poisson system for gaseous stars

被引：14

作者：

Duan, Qin ^{[1
]}

Li, Hai-Liang ^{[2
]}

机构：

[1] Shenzhen Univ, Coll Math & Computat Sci, Shenzhen, Peoples R China

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

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2015年 / 259卷 / 10期

基金：

中国国家自然科学基金;

关键词：

SPHERICALLY SYMMETRIC-SOLUTIONS; BOUNDARY VALUE-PROBLEMS; SHALLOW-WATER; INTERFACE BEHAVIOR; SMOOTH SOLUTIONS; VISCOUS-FLUID; EQUATIONS; FLOWS; TIME; STABILITY;

D O I：

10.1016/j.jde.2015.06.029

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study the multi-dimensional compressible Navier Stokes Poisson system with y-law pressure and density-dependent viscosity coefficients in the simulation of the motion of gaseous stars. The global existence of spherically symmetric weak solutions to the free boundary value problem for the Navier Stokes Poisson system for y is an element of (6/5, 4/3) is shown for arbitrarily large initial data with compact support. (C) 2015 Elsevier Inc. All rights

引用

页码：5302 / 5330

页数：29

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