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January 1, 2025Discrete and Continuous Dynamical Systems - BOpen Access

Existence of pullback attractors and invariant measures for 3D Navier-Stokes-Voigt equations with delay

Yuming Qin Huite Jiang

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Abstract

In this paper, we study the long-time dynamics of 3D non-autonomous Navier-Stokes-Voigt(NSV) equations with delay. We first use the contractive function method to prove the pullback D-asymptotical compactness. Furthermore, we verify the existence and regularity of pullback attractors and there exists a unique family of Borel invariant probability measures which is supported by the pullback attractors.

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Cite This Study

Qin et al. (2025) studied this question.

synapsesocial.com/papers/68e55b5ae2b3180350ef8c61 https://doi.org/10.3934/dcdsb.2024087

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