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Research Article | Open Access

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

Xiaoxia Wang( ), Jinping Jiang
College of Mathematics and Computer Science, Yan'an University, Yan'an 716000, China
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Abstract

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

pullback attractorg-Navier-Stokes equationpullback conditionnonliear dampingtime delay
CLC number: 35B41, 37B55, 76D05

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AIMS Mathematics
Volume 8 Issue 11,
November 2023
Pages 26650-26664
DOI: 10.3934/math.20231363

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Cite this article:
Wang X, Jiang J. The pullback attractor for the 2D g-Navier-Stokes equation with nonlinear damping and time delay. AIMS Mathematics, 2023, 8(11): 26650-26664. https://doi.org/10.3934/math.20231363

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Received: 23 June 2023
Revised: 23 August 2023
Accepted: 24 August 2023
Published: 15 November 2023
©2023 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)