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

Gabriel Deugoué

Abstract and Applied Analysis, 2017, vol. 2017, issue 1

Abstract: We consider a nonautonomous 2D Leray‐α model of fluid turbulence. We prove the existence of the uniform attractor Aα. We also study the convergence of Aα as α goes to zero. More precisely, we prove that the uniform attractor Aα converges to the uniform attractor of the 2D Navier‐Stokes system as α tends to zero.

Date: 2017
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https://doi.org/10.1155/2017/1681857

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2017:y:2017:i:1:n:1681857

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