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Volume 37, Issue 1
Robustness of Pullback Attractors for 2D Incompressible Navier-Stokes Equations with Delay

Keqin Su & Xinguang Yang

DOI: 10.4208/jpde.v37.n1.2

J. Part. Diff. Eq., 37 (2024), pp. 25-46.

Published online: 2024-02

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  • 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.

  • Keywords

Navier-Stokes equations, pullback attractors, delay, upper semi-continuity.

  • AMS Subject Headings

35B40, 35B41, 35Q30, 76D03, 76D05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JPDE-37-25, author = {Su , Keqin and Yang , Xinguang}, title = {Robustness of Pullback Attractors for 2D Incompressible Navier-Stokes Equations with Delay}, journal = {Journal of Partial Differential Equations}, year = {2024}, volume = {37}, number = {1}, pages = {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.

}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v37.n1.2}, url = {http://global-sci.org/intro/article_detail/jpde/22904.html} }
TY - JOUR T1 - Robustness of Pullback Attractors for 2D Incompressible Navier-Stokes Equations with Delay AU - Su , Keqin AU - Yang , Xinguang JO - Journal of Partial Differential Equations VL - 1 SP - 25 EP - 46 PY - 2024 DA - 2024/02 SN - 37 DO - http://doi.org/10.4208/jpde.v37.n1.2 UR - https://global-sci.org/intro/article_detail/jpde/22904.html KW - Navier-Stokes equations, pullback attractors, delay, upper semi-continuity. AB -

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.

Keqin Su & Xinguang Yang. (2024). Robustness of Pullback Attractors for 2D Incompressible Navier-Stokes Equations with Delay. Journal of Partial Differential Equations. 37 (1). 25-46. doi:10.4208/jpde.v37.n1.2
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