Strong trajectory and global W 1,p -attractors for the damped-driven Euler system in R 2.
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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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Official URL: http://arxiv.org/abs/1511.03873v1
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 | ||||||||||||
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| Divisions : | Faculty of Engineering and Physical Sciences > Mathematics | ||||||||||||
| Authors : |
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| Date : | 12 November 2015 | ||||||||||||
| Copyright Disclaimer : | This is an arXiv version of the paper. | ||||||||||||
| Uncontrolled Keywords : | math.AP, math.AP, 35B40, 35B41, 35Q35 | ||||||||||||
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| 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 : | 31 Oct 2017 18:02 | ||||||||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/809935 |
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