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Research Article | Open Access

Pullback dynamics and robustness for the 3D Navier-Stokes-Voigt equations with memory

Keqin Su1, Rong Yang2( )
College of Information and Management Science, Henan Agricultural University, Zhengzhou 450046, China
Faculty of Science, Beijing University of Technology, Beijing 100124, China
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Abstract

The tempered pullback dynamics and robustness of the 3D Navier-Stokes-Voigt equations with memory and perturbed external force are considered in this paper. Based on the global well-posedness results and energy estimates involving memory, a suitable tempered universe is constructed, the robustness is finally established via the upper semi-continuity of tempered pullback attractors when the perturbation parameter epsilon tends to zero.

Keywords

Navier-Stokes-Voigt equationsmemoryrobustness

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Electronic Research Archive
Volume 31 Issue 2,
February 2023
Pages 928-946
DOI: 10.3934/era.2023046

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Cite this article:
Su K, Yang R. Pullback dynamics and robustness for the 3D Navier-Stokes-Voigt equations with memory. Electronic Research Archive, 2023, 31(2): 928-946. https://doi.org/10.3934/era.2023046

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Received: 19 September 2022
Revised: 20 November 2022
Accepted: 24 November 2022
Published: 15 February 2023
©2023 the Author(s), licensee AIMS Press.

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