Asymptotic behavior of exact solutions for the Cauchy problem to the 3D cylindrically symmetric Navier-Stokes equations

被引：3
作者：
Qin, Yuming [1 ]
Zhang, Jianlin [2 ,3 ]
机构：
[1] Donghua Univ, Dept Appl Math, Shanghai 201620, Peoples R China
[2] Zhongyuan Univ Technol, Dept Appl Math, Coll Sci, Zhengzhou 450007, Peoples R China
[3] Donghua Univ, Coll Informat Sci & Technol, Shanghai 201620, Peoples R China
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2017年 / 40卷 / 12期
关键词：
Navier-Stokes equations; asymptotic behavior; Riccati equation; heat equation; GLOBAL WELLPOSEDNESS; REGULARITY; FLOWS; DECAY; VORTICITY; STABILITY; POSEDNESS; INVARIANT; FLUIDS; SPACE;
D O I：
10.1002/mma.4324
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish exact solutions of the Cauchy problem for the 3D cylindrically symmetric incompressible Navier-Stokes equations and further study the global existence and asymptotic behavior of solutions. Copyright (C) 2017 John Wiley & Sons, Ltd.
引用
收藏
页码：4538 / 4547
页数：10
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