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Explicit dimension estimates of attractors for the MHD equations in three-dimensional space

✍ Scribed by A. Eden; A. Libin

Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
508 KB
Volume
40
Category
Article
ISSN
0167-2789

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✍ 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