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Finite Dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono Equation in R3

Savostianov, A and Zelik, S (2015) Finite Dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono Equation in R3 Mathematical Methods in the Applied Sciences, 39 (5). pp. 1254-1267.

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Abstract

In this paper, we continue the study of the hyperbolic relaxation of the Cahn-Hilliard-Oono equation with the sub-quintic non-linearity in the whole space R3 started in our previous paper and verify that under the natural assumptions on the non-linearity and the external force, the fractal dimension of the associated global attractor in the natural energy space is finite.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Savostianov, AUNSPECIFIEDUNSPECIFIED
Zelik, SUNSPECIFIEDUNSPECIFIED
Date : 10 August 2015
Identification Number : 10.1002/mma.3569
Copyright Disclaimer : This is the pre-peer reviewed version of the following article: Finite dimensionality of the attractor for the hyperbolic Cahn–Hilliard–Oono equation in R3, which has been published in final form at http://dx.doi.org/10.1002/mma.3569. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving
Uncontrolled Keywords : math.AP, math.AP, 35B40, 35B45, 35L70
Related URLs :
Additional Information : This is the pre-peer reviewed version of the following article: Finite dimensionality of the attractor for the hyperbolic Cahn–Hilliard–Oono equation in R3, which has been published in final form at http://dx.doi.org/10.1002/mma.3569. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving
Depositing User : Symplectic Elements
Date Deposited : 08 Mar 2016 10:30
Last Modified : 08 Mar 2016 10:30
URI: http://epubs.surrey.ac.uk/id/eprint/809939

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