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Infinite Energy Solutions for Dissipative Euler Equations in R-2

Chepyzhov, V and Zelik, S (2015) Infinite Energy Solutions for Dissipative Euler Equations in R-2 Journal of Mathematical Fluid Mechanics, 17 (3). pp. 513-532.

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Abstract

We study the system of Euler equations with the so-called Ekman damping in the whole 2D space. The global well-posedness and dissipativity for the weak infinite energy solutions of this problem in the uniformly local spaces is verified based on the further development of the weighted energy theory for the Navier–Stokes and Euler type problems. In addition, the existence of weak locally compact global attractor is proved and some extra compactness of this attractor is obtained.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Chepyzhov, VUNSPECIFIEDUNSPECIFIED
Zelik, SUNSPECIFIEDUNSPECIFIED
Date : 29 June 2015
Identification Number : 10.1007/s00021-015-0213-x
Copyright Disclaimer : © 2015, The Author(s). Creative Commons Attribution 4.0 International (CC BY)
Uncontrolled Keywords : Science & Technology, Physical Sciences, Technology, Mathematics, Interdisciplinary Applications, Mechanics, Physics, Fluids & Plasmas, Mathematics, Physics, Euler equations, Ekman damping, infinite energy solutions, weighted energy estimates, unbounded domains, NAVIER-STOKES EQUATIONS, SPATIALLY NONDECAYING SOLUTIONS, UNBOUNDED-DOMAINS, DIFFERENTIAL-EQUATIONS, TRAJECTORY ATTRACTORS, DIFFUSION SYSTEMS, SPACES, TIME
Related URLs :
Additional Information : © 2015, The Author(s). Creative Commons Attribution 4.0 International (CC BY)
Depositing User : Symplectic Elements
Date Deposited : 23 Feb 2016 14:45
Last Modified : 23 Feb 2016 14:45
URI: http://epubs.surrey.ac.uk/id/eprint/809941

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