AIMS Mathematics (Sep 2023)

The pullback attractor for the 2D g-Navier-Stokes equation with nonlinear damping and time delay

  • Xiaoxia Wang,
  • Jinping Jiang

DOI
https://doi.org/10.3934/math.20231363
Journal volume & issue
Vol. 8, no. 11
pp. 26650 – 26664

Abstract

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In this article, the global well-posedness of weak solutions for 2D non-autonomous g-Navier-Stokes equations on some bounded domains were investigated by the Faedo-Galerkin method. Then the existence of pullback attractors for 2D g-Navier-Stokes equations with nonlinear damping and time delay was obtained using the method of pullback condition (PC).

Keywords