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

✍ Scribed by Gaocheng Yue; Chengkui Zhong

• Publisher: Elsevier Science
• Year: 2010
• Tongue: English
• Weight: 528 KB
• Volume: 233
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/j.cam.2009.09.024

✦ Synopsis

First, the existence of uniform attractors for nonautonomous 2D NS-α model with normal force term on the T 2 torus in L 2 loc (R; V ) is proved. Then we study the relations between the uniform attractor of 2D NS-α model and 2D NS system. We prove that the uniform attractor of the 2D NS-α model converges to the 2D NS system as α tends to zero.