Asymptotic stability of 3D functional Brinkman-Forchheimer equation
- Xinguang Yang
, - Yong Yang,
- Wenjing Liu,
- Junzhao Zhang
Xinguang Yang
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Henan Normal University
Corresponding Author:yangxinguang@hotmail.com
Author ProfileAbstract
This paper is concerned with the asymptotic stability of global weak and
strong solutions for a 3D incompressible functional Brinkman-Forchheimer
equation with delay. Under some appropriate assumptions on the external
forces especially the averaged state, the well-posedness of 3D
functional Brinkman-Forchheimer flow model and its steady state equation
have been obtained rstly, then the asymptotic stability of global
solutions also derived via the convergence of trajectories for the
corresponding systems.