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Existence and finite dimensionality of the global attractor for evolution equations on unbounded domains

✍ Scribed by Frederic Abergel


Book ID
107792199
Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
1012 KB
Volume
83
Category
Article
ISSN
0022-0396

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Existence of global attractors for the t
✍ Bixiang Wang; Siyu Lin 📂 Article 📅 2008 🏛 John Wiley and Sons 🌐 English ⚖ 132 KB

## 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 ex