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Approximation of the incompressible convective Brinkman–Forchheimer equations

✍ Scribed by Caidi Zhao, Yuncheng You

Book ID
118777629
Publisher
Springer
Year
2012
Tongue
English
Weight
298 KB
Volume
12
Category
Article
ISSN
1424-3199

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On the time discrete approximation of the Brinkman–Forchheimer equations
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## Communicated by J. Banasiak In this work, we study the structural stability of the fully implicit Euler scheme for the Brinkman-Forchheimer equations. More precisely, we consider the time discretization scheme of the unsteady Brinkman-Forchheimer equations, and we prove the existence of solutio

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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