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

Autor:	Kalantarov, Varga K., Zelik, Sergey
Rok vydání:	2011
Předmět:	Mathematics - Analysis of PDEs 35B41
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1101.4070 Zobrazit plný text záznamu View this record from Arxiv