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arXiv · 1101.4070

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

Varga K. Kalantarov·Sergey Zelik
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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.

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Varga K. Kalantarov, Sergey Zelik. 2011-01-21. Smooth Attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities. https://arxiv.org/abs/1101.4070

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