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

Keqin Su; Rong Yang; Keqin Su; Rong Yang

doi:10.3934/era.2023046

Electronic Research Archive

2023, Volume 31, Issue 2: 928-946. doi: 10.3934/era.2023046

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Research article

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

Keqin Su ¹,
Rong Yang ^{2
,
,}

1.
College of Information and Management Science, Henan Agricultural University, Zhengzhou 450046, China
2.
Faculty of Science, Beijing University of Technology, Beijing 100124, China

Received: 19 September 2022 Revised: 20 November 2022 Accepted: 24 November 2022 Published: 05 December 2022

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.
- Navier-Stokes-Voigt equations,
- memory,
- robustness
Citation: Keqin Su, Rong Yang. Pullback dynamics and robustness for the 3D Navier-Stokes-Voigt equations with memory[J]. Electronic Research Archive, 2023, 31(2): 928-946. doi: 10.3934/era.2023046

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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.

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