Publication: Smooth attractors for the Brinkman-Forchheimer equations with fast growing nonlinearities
Program
KU-Authors
KU Authors
Co-Authors
Zelik, Sergey
Publication Date
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Type
Embargo Status
Journal Title
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Volume Title
Alternative Title
Abstract
We prove the existence of regular dissipative solutions and global attractors for the 3D Brinkmann-Forchheimer equations with a nonlinearity of 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
Publisher
Amer Inst Mathematical Sciences
Subject
Mathematics, Applied mathematics
Citation
Has Part
Source
Communications On Pure and Applied Analysis
Book Series Title
Edition
DOI
10.3934/cpaa.2012.11.2037