On the convergence of the uniform attractor of 2D NS-α model to the uniform attractor of 2D NS system

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article

Yue, Gaocheng¹  Zhong, Chengkui¹ 

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Peoples R China

关键词: Uniform attractor;    NS-alpha and NS equations;    Convergence;   

DOI  :  10.1016/j.cam.2009.09.024

来源: Elsevier

【 摘 要 】

First, the existence of uniform attractors for nonautonomous 2D NS-alpha model with normal force term oil the T-2 torus in L-loc(2) (R: V') is proved, Then we study the relations between the uniform attractor of 2D NS-alpha model and 2D NS system. We prove that the uniform attractor of the 2D NS-alpha, model converges to the 2D NS system as alpha tends to zero. (C) 2009 Elsevier B.V. All rights reserved.

【 授权许可】

Free