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Smooth Attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities | | Varga K. Kalantarov
; Sergey Zelik
; | | Date: |
21 Jan 2011 | | 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. | | Source: | arXiv, 1101.4070 | | Services: | Forum | Review | PDF | Favorites | |
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