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Existence of global attractors for the three-dimensional Brinkman–Forchheimer equation

✍ Scribed by Bixiang Wang; Siyu Lin

Publisher
John Wiley and Sons
Year
2008
Tongue
English
Weight
132 KB
Volume
31
Category
Article
ISSN
0170-4214

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✦ Synopsis

Abstract

In this paper, we investigate the asymptotic behavior of solutions of the three‐dimensional Brinkman–Forchheimer equation. We first prove the existence and uniqueness of solutions of the equation in L^2^, and then show that the equation has a global attractor in H^2^ when the external forcing term belongs to L^2^. Copyright © 2008 John Wiley & Sons, Ltd.

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