Asymptotic behavior of solutions to 3D convective Brinkman-Forchheimer equations with finite delays
Commun. Korean Math. Soc. 2021 Vol. 36, No. 3, 527-548
Published online March 10, 2021
Printed July 31, 2021
Le Thi Thuy
Electric Power University
Abstract : In this paper we prove the existence of global weak solutions, the exponential stability of a stationary solution and the existence of a global attractor for the three-dimensional convective Brinkman-Forchheimer equations with finite delay and fast growing nonlinearity in bounded domains with homogeneous Dirichlet boundary conditions.
Keywords : Brinkman-Forchheimer equation, delays, weak solution, stationary solution, global attractor
MSC numbers : 35B41, 35Q30, 35D30
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