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Global well-posedness and attractors for the hyperbolic Cahn-Hilliard-Oono equation in the whole space

Savostianov, A and Zelik, S (2014) Global well-posedness and attractors for the hyperbolic Cahn-Hilliard-Oono equation in the whole space

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Abstract

We prove the global well-posedness of the so-called hyperbolic relaxation of the Cahn-Hilliard-Oono equation in the whole space R^3 with the non-linearity of the sub-quintic growth rate. Moreover, the dissipativity and the existence of a smooth global attractor in the naturally defined energy space is also verified. The result is crucially based on the Strichartz estimates for the linear Scroedinger equation in R^3.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Savostianov, AUNSPECIFIEDUNSPECIFIED
Zelik, SUNSPECIFIEDUNSPECIFIED
Date : 22 July 2014
Related URLs :
Additional Information : This is an archive publication.
Depositing User : Symplectic Elements
Date Deposited : 18 Dec 2014 11:34
Last Modified : 08 Jan 2015 02:33
URI: http://epubs.surrey.ac.uk/id/eprint/806826

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