Electronic Research Archive

2020, Issue 4: 1395-1418. doi: 10.3934/era.2020074

The structure and stability of pullback attractors for 3D Brinkman-Forchheimer equation with delay

• Received: 01 March 2020 Revised: 01 June 2020 Published: 31 July 2020
• 35Q30, 35B40, 35B41, 76D03, 76D05

• This paper concerns the stability of pullback attractors for 3D Brinkman-Forchheimer equation with delays. By some regular estimates and the variable index to deal with the delay term, we get the sufficient conditions for asymptotic stability of trajectories inside the pullback attractors for a fluid flow model in porous medium by generalized Grashof numbers.

Citation: Xin-Guang Yang, Lu Li, Xingjie Yan, Ling Ding. The structure and stability of pullback attractors for 3D Brinkman-Forchheimer equation with delay[J]. Electronic Research Archive, 2020, 28(4): 1395-1418. doi: 10.3934/era.2020074

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• This paper concerns the stability of pullback attractors for 3D Brinkman-Forchheimer equation with delays. By some regular estimates and the variable index to deal with the delay term, we get the sufficient conditions for asymptotic stability of trajectories inside the pullback attractors for a fluid flow model in porous medium by generalized Grashof numbers.

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