Existence of global attractors for the three‐dimensional Brinkman–Forchheimer equation |
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| Authors: | Bixiang Wang Siyu Lin |
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| Institution: | Department of Mathematics, New Mexico Institute of Mining and Technology, Socorro, NM 87801, U.S.A. |
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| 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 L2, and then show that the equation has a global attractor in H2 when the external forcing term belongs to L2. Copyright © 2008 John Wiley & Sons, Ltd. |
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| Keywords: | Brinkman– Forchheimer equation global attractor asymptotic compactness |
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