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Asymptotic stability of 3D functional Brinkman-Forchheimer equation
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  • Xinguang Yang,
  • Yong Yang,
  • Wenjing Liu,
  • Junzhao Zhang
Xinguang Yang
Henan Normal University
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Yong Yang
Beijing University of Technology
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Wenjing Liu
Beijing University of Technology
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Junzhao Zhang
Changchun University of Technology
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Abstract

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.
28 Oct 2021Submitted to Mathematical Methods in the Applied Sciences
29 Oct 2021Assigned to Editor
29 Oct 2021Submission Checks Completed
17 Nov 2021Reviewer(s) Assigned