Electronic Research Archive (Jan 2023)

Pullback dynamics and robustness for the 3D Navier-Stokes-Voigt equations with memory

  • Keqin Su,
  • Rong Yang

DOI
https://doi.org/10.3934/era.2023046
Journal volume & issue
Vol. 31, no. 2
pp. 928 – 946

Abstract

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The tempered pullback dynamics and robustness of the 3D Navier-Stokes-Voigt equations with memory and perturbed external force are considered in this paper. Based on the global well-posedness results and energy estimates involving memory, a suitable tempered universe is constructed, the robustness is finally established via the upper semi-continuity of tempered pullback attractors when the perturbation parameter epsilon tends to zero.

Keywords