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Existence of global attractors for the three‐dimensional Brinkman–Forchheimer equation
Author(s) -
Wang Bixiang,
Lin Siyu
Publication year - 2008
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.985
Subject(s) - mathematics , uniqueness , attractor , forcing (mathematics) , mathematical analysis , term (time) , physics , quantum mechanics
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.