ON THE GLOBAL EXISTENCE AND STABILITY OF 3-D VISCOUS CYLINDRICAL CIRCULATORY FLOWS

被引：0

作者：

Yin Huicheng ^{[1
]}

Zhang Lin ^{[2
]}

机构：

[1] Nanjing Normal Univ, Sch Math Sci, Nanjing 210023, Jiangsu, Peoples R China

[2] Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China

来源：

DIFFERENTIAL AND INTEGRAL EQUATIONS | 2019年 / 32卷 / 5-6期

关键词：

NAVIER-STOKES EQUATIONS; BOUNDARY-VALUE-PROBLEMS; SYMMETRIC-SOLUTIONS;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we are concerned with the global existence and stability of a 3-D perturbed viscous circulatory flow around an infinite long cylinder. This flow is described by 3-D compressible Navier-Stokes equations. By introducing some suitably weighted energy spaces and establishing a priori estimates, we show that the 3-D cylindrical symmetric circulatory flow is globally stable in time when the corresponding initial states are perturbed suitably small.

引用

页码：337 / 358

页数：22

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