Asymptotic Stability for the 2D Navier–Stokes Equations with Multidelays on Lipschitz Domain

Ling-Rui Zhang, Xin-Guang Yang () and Ke-Qin Su
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Ling-Rui Zhang: Department of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
Xin-Guang Yang: Department of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
Ke-Qin Su: College of Information and Management Science, Henan Agricultural University, Zhengzhou 450046, China

Mathematics, 2022, vol. 10, issue 23, 1-12

Abstract: This paper is concerned with the asymptotic stability derived for the two-dimensional incompressible Navier–Stokes equations with multidelays on Lipschitz domain, which models the control theory of 2D fluid flow. By a new retarded Gronwall inequality and estimates of stream function for Stokes equations, the complete trajectories inside pullback attractors are asymptotically stable via the restriction on the generalized Grashof number of fluid flow. The results in this presented paper are some extension of the literature by Yang, Wang, Yan and Miranville in 2021, as well as also the preprint by Su, Yang, Miranville and Yang in 2022

Keywords: Navier–Stokes equations; multidelays; Lipschitz domain (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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