Abstract and Applied Analysis

On the Convergence of the Uniform Attractor for the 2D Leray-α Model

Gabriel Deugoué

Full-text: Access denied (no subscription detected) We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text


We consider a nonautonomous 2D Leray-$\alpha $ model of fluid turbulence. We prove the existence of the uniform attractor ${\mathcal{A}}^{\alpha }$. We also study the convergence of ${\mathcal{A}}^{\alpha }$ as $\alpha $ goes to zero. More precisely, we prove that the uniform attractor ${\mathcal{A}}^{\alpha }$ converges to the uniform attractor of the 2D Navier-Stokes system as $\alpha $ tends to zero.

Article information

Abstr. Appl. Anal. Volume 2017 (2017), Article ID 1681857, 11 pages.

Received: 15 January 2017
Revised: 30 March 2017
Accepted: 16 April 2017
First available in Project Euclid: 16 June 2017

Permanent link to this document

Digital Object Identifier


Deugoué, Gabriel. On the Convergence of the Uniform Attractor for the 2D Leray- α Model. Abstr. Appl. Anal. 2017 (2017), Article ID 1681857, 11 pages. doi:10.1155/2017/1681857. http://projecteuclid.org/euclid.aaa/1497578543.

Export citation