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

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

VV Chepyzhov, AA Ilyin and SV Zelik
arXiv
12/11/2015

Abstract

math.AP math.AP 35B40 35B41 35Q35
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.
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1511.03873v1310.90 kBDownloadView
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url
http://arxiv.org/abs/1511.03873v1View
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url
http://arxiv.org/abs/1511.03873v1View
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