FREE BOUNDARY VALUE PROBLEM FOR THE CYLINDRICALLY SYMMETRIC COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY

被引：0
|
作者：
连汝续 [1 ,2 ]
刘健 [3 ]
机构：
[1] College of Mathematics and Information Science,North China University of Water Resources and Electric Power
[2] Institute of Atmospheric Physics,Chinese Academy of Sciences
[3] College of Teacher Education,Quzhou University
来源：
Acta Mathematica Scientia | 2016年 / 36卷 / 01期
基金：
中国博士后科学基金;
关键词：
cylindrically symmetric Navier-Stokes equations; free boundary value problem; density-dependent viscosity coefficients; strong solution;
D O I：
暂无
中图分类号：
O175.8 [边值问题];
学科分类号：
070104 ;
摘要：
In this paper, we investigate the free boundary value problem(FBVP) for the cylindrically symmetric isentropic compressible Navier-Stokes equations(CNS) with densitydependent viscosity coefficients in the case that across the free surface stress tensor is balanced by a constant exterior pressure. Under certain assumptions imposed on the initial data, we prove that there exists a unique global strong solution which tends pointwise to a non-vacuum equilibrium state at an exponential time-rate as the time tends to infinity.
引用
收藏
页码：111 / 123
页数：13
相关论文
共 50 条
12345