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Infinite energy solutions for the Cahn-Hilliard equation in cylindrical domains

Eden, A, Kalantarov, VK and Zelik, SV (2010) Infinite energy solutions for the Cahn-Hilliard equation in cylindrical domains arXiv. (Unpublished)

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Abstract

We give a detailed study of the infinite-energy solutions of the Cahn-Hilliard equation in the 3D cylindrical domains in uniformly local phase space. In particular, we establish the well-posedness and dissipativity for the case of regular potentials of arbitrary polynomial growth as well as for the case of sufficiently strong singular potentials. For these cases, we prove the further regularity of solutions and the existence of a global attractor. For the cases where we have failed to prove the uniqueness (e.g., for the logarithmic potentials), we establish the existence of the trajectory attractor and study its properties.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Eden, AUNSPECIFIEDUNSPECIFIED
Kalantarov, VKUNSPECIFIEDUNSPECIFIED
Zelik, SVUNSPECIFIEDUNSPECIFIED
Date : 19 May 2010
Related URLs :
Additional Information : This is an arXiv version of a paper which was published in Mathematical Methods in the Applied Sciences.
Depositing User : Symplectic Elements
Date Deposited : 10 Feb 2015 11:36
Last Modified : 10 Apr 2015 13:33
URI: http://epubs.surrey.ac.uk/id/eprint/806856

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