Abstract and Applied Analysis

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

Gabriel Deugoué

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Abstract

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

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

Dates
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
http://projecteuclid.org/euclid.aaa/1497578543

Digital Object Identifier
doi:10.1155/2017/1681857

Citation

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.


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