Global Axisymmetric Solutions of Three Dimensional Inhomogeneous Incompressible Navier-Stokes System with Nonzero Swirl

被引：16

作者：

Chen, Hui ^{[1
]}

Fang, Daoyuan ^{[1
]}

Zhang, Ting ^{[1
]}

机构：

[1] Zhejiang Univ, Dept Math, Hangzhou 310027, Zhejiang, Peoples R China

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2017年 / 223卷 / 02期

关键词：

AXIALLY-SYMMETRIC FLOWS; VISCOUS FLUIDS; EQUATIONS; REGULARITY; DENSITY; CRITERION; ENERGY;

D O I：

10.1007/s00205-016-1046-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the global well-posedness for the three dimensional inhomogeneous incompressible Navier-Stokes system with axisymmetric initial data. We obtain the global existence and uniqueness of the axisymmetric solution provided that parallel to a(0)/r parallel to(infinity) and parallel to u(0)(theta)parallel to(3) are sufficiently small. Furthermore, if u(0) is an element of L-1 and ru(0)(theta) is an element of L-1 boolean AND L-2, we have the decay estimate parallel to u(theta)(t)parallel to(2)(2) + < t > parallel to del(u(theta)e(theta))(t)parallel to(2)(2) + t < t >(parallel to u(t)(theta)(t)parallel to(2)(2) + parallel to Delta(u(theta)e(theta))(t)parallel to(2)(2)) <= C < t >(-5/2), (sic) t > 0.

引用

页码：817 / 843

页数：27