Existence and invariant measure of pullback attractors for 3D Navier-Stokes-Voigt equations with delay
Analysis of PDEs
2024-02-28 v1
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.
Keywords
Cite
@article{arxiv.2402.17347,
title = {Existence and invariant measure of pullback attractors for 3D Navier-Stokes-Voigt equations with delay},
author = {Yuming Qin and Huite Jiang},
journal= {arXiv preprint arXiv:2402.17347},
year = {2024}
}
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22 pages