GLOBAL WEAK SOLUTION TO 3D COMPRESSIBLE FLOWS WITH DENSITY-DEPENDENT VISCOSITY AND FREE BOUNDARY

被引：6

作者：

Wang, Mei ^{[1
]}

Li, Zilai ^{[2
]}

Guo, Zhenhua ^{[2
]}

机构：

[1] Xian Univ Technol, Sch Sci, Xian 710048, Shaanxi, Peoples R China

[2] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

来源：

COMMUNICATIONS ON PURE AND APPLIED ANALYSIS | 2017年 / 16卷 / 01期

关键词：

Navier-Stokes equations; spherically symmetric; density-dependent viscosity; global weak solution; free boundary; NAVIER-STOKES EQUATIONS; WELL-POSEDNESS; CAUCHY-PROBLEM; VACUUM STATES; BLOW-UP; EXISTENCE; COEFFICIENTS; SPACES; MODEL;

D O I：

10.3934/cpaa.2017001

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain the global weak solution to the 3D spherically symmetric compressible isentropic Navier-Stokes equations with arbitrarily large, vacuum data and free boundary when the shear viscosity it is a positive constant and the bulk viscosity lambda(rho) = rho(beta) with beta > 0. The analysis of the upper and lower bound of the density is based on some well-chosen functionals. In addition, the free boundary can be shown to expand outward at an algebraic rate in time.

引用

页码：1 / 23

页数：23

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