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A note on the existence of a global attractor for the Brinkman–Forchheimer equations

✍ Scribed by Yan Ouyang; Ling-e Yang

Publisher
Elsevier Science
Year
2009
Tongue
English
Weight
380 KB
Volume
70
Category
Article
ISSN
0362-546X

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✦ Synopsis

This study focuses on the Brinkman-Forchheimer equation u t = γ uau -b|u|u -c|u| β u -∇ p + f in an open, bounded domain Ω and the existence of a global attractor in the phase space H 1 0 (Ω ) is established.

📜 SIMILAR VOLUMES

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