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Strong trajectory and global W 1,p -attractors for the damped-driven Euler system in R 2.

Chepyzhov, VV, Ilyin, AA and Zelik, SV (2015) Strong trajectory and global W 1,p -attractors for the damped-driven Euler system in R 2. arXiv.

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Abstract

We consider the damped and driven two-dimensional Euler equations in the plane with weak solutions having finite energy and enstrophy. We show that these (possibly non-unique) solutions satisfy the energy and enstrophy equality. It is shown that this system has a strong global and a strong trajectory attractor in the Sobolev space H1. A similar result on the strong attraction holds in the spaces H1 ∩ {u : k curl ukLp < ∞} for p ≥ 2.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Chepyzhov, VVUNSPECIFIEDUNSPECIFIED
Ilyin, AAUNSPECIFIEDUNSPECIFIED
Zelik, SVUNSPECIFIEDUNSPECIFIED
Date : 12 November 2015
Copyright Disclaimer : This is an arXiv version of the paper.
Uncontrolled Keywords : math.AP, math.AP, 35B40, 35B41, 35Q35
Related URLs :
Additional Information : This is an arXiv version of the paper. arXiv:1511.03873 [math.AP]
Depositing User : Symplectic Elements
Date Deposited : 25 Feb 2016 09:52
Last Modified : 25 Feb 2016 09:52
URI: http://epubs.surrey.ac.uk/id/eprint/809935

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