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Strong trajectory attractors for dissipative Euler equations

Chepyzhov, VV, Vishik, MI and Zelik, Sergey (2011) Strong trajectory attractors for dissipative Euler equations Journal des Mathematiques Pures et Appliquees, 96. pp. 395-407.

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Abstract

The 2D Euler equations with periodic boundary conditions and extra linear dissipative term Ru, R > 0 are considered and the existence of a strong trajectory attractor in the space L∞ loc(R+,H1) is established under the assumption that the external forces have bounded vorticity. This result is obtained by proving that any solution belonging the proper weak trajectory attractor has a bounded vorticity which implies its uniqueness (due to the Yudovich theorem) and allows to verify the validity of the energy equality on the weak attractor. The convergence to the attractor in the strong topology is then proved via the energy method.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
NameEmailORCID
Chepyzhov, VVUNSPECIFIEDUNSPECIFIED
Vishik, MIUNSPECIFIEDUNSPECIFIED
Zelik, SergeyS.Zelik@surrey.ac.ukUNSPECIFIED
Date : 2011
Identification Number : 10.1016/j.matpur.2011.04.007
Copyright Disclaimer : © 2011 Elsevier Masson SAS. All rights reserved
Depositing User : Symplectic Elements
Date Deposited : 16 Aug 2017 10:38
Last Modified : 16 Aug 2017 10:38
URI: http://epubs.surrey.ac.uk/id/eprint/806850

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