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Smooth Attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities

Kalantarov, VK and Zelik, S (2011) Smooth Attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities arXiv.

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Abstract

We prove the existence of regular dissipative solutions and global attractors for the 3D Brinkmann-Forchheimer equations with the nonlinearity of an arbitrary polynomial growth rate. In order to obtain this result, we prove the maximal regularity estimate for the corresponding semi-linear stationary Stokes problem using some modification of the nonlinear localization technique. The applications of our results to the Brinkmann-Forchheimer equation with the Navier-Stokes inertial term are also considered.

Item Type: Article
Divisions : Faculty of Engineering and Physical Sciences > Mathematics
Authors :
AuthorsEmailORCID
Kalantarov, VKUNSPECIFIEDUNSPECIFIED
Zelik, SUNSPECIFIEDUNSPECIFIED
Date : 21 January 2011
Related URLs :
Additional Information : This an arXiv version of the paper.
Depositing User : Symplectic Elements
Date Deposited : 07 Jan 2015 18:50
Last Modified : 08 Jan 2015 02:33
URI: http://epubs.surrey.ac.uk/id/eprint/806849

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