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Inertial manifolds for the 3D Cahn-Hilliard equations with periodic boundary conditions.

Kostianko, A and Zelik, S (2015) Inertial manifolds for the 3D Cahn-Hilliard equations with periodic boundary conditions. Communications on Pure and Applied Analysis, 14 (5). pp. 2069-2094.

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Abstract

The existence of an inertial manifold for the 3D Cahn-Hilliard equation with periodic boundary conditions is verified using a proper extension of the so-called spatial averaging principle introduced by G. Sell and J. Mallet-Paret. Moreover, the extra regularity of this manifold is also obtained.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Kostianko, AUNSPECIFIEDUNSPECIFIED
Zelik, SUNSPECIFIEDUNSPECIFIED
Date : 1 September 2015
Identification Number : 10.3934/cpaa.2015.14.2069
Copyright Disclaimer : This is an electronic version of an article published in Communications on Pure and Applied Analysis (CPAA), Volume 14, Issue 5. http://dx.doi.org/10.3934/cpaa.2015.14.2069
Uncontrolled Keywords : Science & Technology, Physical Sciences, Mathematics, Applied, Mathematics, Cahn-Hilliard equation, spatial averaging principle, inertial manifold, PARABOLIC EQUATIONS, ATTRACTORS
Related URLs :
Additional Information : This is the arXiv version of the paper. This is an electronic version of an article published in Communications on Pure and Applied Analysis (CPAA), Volume 14, Issue 5. http://dx.doi.org/10.3934/cpaa.2015.14.2069
Depositing User : Symplectic Elements
Date Deposited : 23 Feb 2016 13:03
Last Modified : 01 Jul 2016 01:08
URI: http://epubs.surrey.ac.uk/id/eprint/809942

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