Communications of the
Korean Mathematical Society
CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024

Article

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Commun. Korean Math. Soc. 2021; 36(3): 527-548

Online first article March 10, 2021      Printed July 31, 2021

https://doi.org/10.4134/CKMS.c200239

Copyright © The Korean Mathematical Society.

Asymptotic behavior of solutions to 3D convective Brinkman-Forchheimer equations with finite delays

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