Anton Savostianov
Finite dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono equation in R3
Savostianov, Anton; Zelik, Sergey
Authors
Sergey Zelik
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 math formula 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.
Citation
Savostianov, A., & Zelik, S. (2016). Finite dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono equation in R3. Mathematical Methods in the Applied Sciences, 39(5), 1254-1267. https://doi.org/10.1002/mma.3569
Journal Article Type | Article |
---|---|
Online Publication Date | Aug 10, 2015 |
Publication Date | Apr 1, 2016 |
Deposit Date | Apr 25, 2017 |
Publicly Available Date | May 4, 2017 |
Journal | Mathematical Methods in the Applied Sciences |
Print ISSN | 0170-4214 |
Electronic ISSN | 1099-1476 |
Publisher | Wiley |
Peer Reviewed | Peer Reviewed |
Volume | 39 |
Issue | 5 |
Pages | 1254-1267 |
DOI | https://doi.org/10.1002/mma.3569 |
Public URL | https://durham-repository.worktribe.com/output/1388829 |
Related Public URLs | https://arxiv.org/abs/1502.02156 |
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Copyright Statement
This is the accepted version of the following article: Savostianov, A., and Zelik, S. (2016) Finite dimensionality of the attractor for the hyperbolic Cahn–Hilliard–Oono equation in R3. Mathematical Methods in the Applied Sciences, 39(5): 1254-1267, which has been published in final form at https://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.
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