Robustness of Pullback Attractors for 2D Incompressible Navier-Stokes Equations with Delay

Robustness of Pullback Attractors for 2D Incompressible Navier-Stokes Equations with Delay

Year:    2024

Author:    Keqin Su, Xinguang Yang

Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 1 : pp. 25–46

Abstract

This paper is concerned with the pullback dynamics and robustness for the 2D incompressible Navier-Stokes equations with delay on the convective term in bounded domain. Under appropriate assumption on the delay term, we establish the existence of pullback attractors for the fluid flow model, which is dependent on the past state. Inspired by the idea in Zelati and Gal’s paper (JMFM, 2015), the robustness of pullback attractors has been proved via upper semi-continuity in last section.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/10.4208/jpde.v37.n1.2

Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 1 : pp. 25–46

Published online:    2024-01

AMS Subject Headings:   

Copyright:    COPYRIGHT: © Global Science Press

Pages:    22

Keywords:    Navier-Stokes equations pullback attractors delay upper semi-continuity.

Author Details

Keqin Su

Xinguang Yang