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arXiv · 2402.17347

Existence and invariant measure of pullback attractors 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. Inspired by [36], we use the contractive function method to prove the pullback D-asymptotical compactness and existence of the pullback attractors. Furthermore, we verify the regularity of pullback attractors by the method in [14, 43, 47] and there exists a unique family of Borel invariant probability measures which is supported by the pullback attractors.

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Yuming Qin, Huite Jiang. 2024-02-27. Existence and invariant measure of pullback attractors for 3D Navier-Stokes-Voigt equations with delay. https://arxiv.org/abs/2402.17347

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