Finite Dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono Equation in R3
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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 | |||||||||
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| Divisions : | Faculty of Engineering and Physical Sciences > Mathematics | |||||||||
| Authors : |
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| Date : | 10 August 2015 | |||||||||
| DOI : | 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 : | 31 Oct 2017 18:03 | |||||||||
| URI: | http://epubs.surrey.ac.uk/id/eprint/809939 |
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