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

Xiaoxia Wang; Jinping Jiang; Xiaoxia Wang; Jinping Jiang

doi:10.3934/math.20231363

AIMS Mathematics

2023, Volume 8, Issue 11: 26650-26664. doi: 10.3934/math.20231363

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Research article

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

Received: 23 June 2023 Revised: 23 August 2023 Accepted: 24 August 2023 Published: 19 September 2023
MSC : 35B41, 37B55, 76D05

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).
- pullback attractor,
- g-Navier-Stokes equation,
- pullback condition,
- nonliear damping,
- time delay
Citation: Xiaoxia Wang, Jinping Jiang. The pullback attractor for the 2D g-Navier-Stokes equation with nonlinear damping and time delay[J]. AIMS Mathematics, 2023, 8(11): 26650-26664. doi: 10.3934/math.20231363

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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).

References

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