Finite dimensionality of the attractor for the hyperbolic Cahn-Hilliard-Oono equation in R3

Savostianov, Anton; Zelik, Sergey

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