Dynamics for Three Dimensional Generalized Navier-Stokes Equations with Delay

Authors

Rui Lu Department of Mathematics, China University of Mining and Technology Beijing, Beijing 10083, China
Chunxiao Guo The Graduate School of China Academy of Engineering Physics, P.O. Box 2101, Beijing 100088, China
Xin-Guang Yang Department of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China
Pan Zhang College of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450011, China

DOI:

https://doi.org/10.4208/jpde.v35.n2.2

Keywords:

Three dimensional generalized Navier-Stokes equations, delay, pullback attractor.

Abstract

This paper is concerned with the existence of pullback attractors for three dimensional generalized Navier-Stokes equations with delay. According to compact argument, the existence and uniqueness of weak solutions are proved by using Galerkin method, and the continuous dependence of solutions on initial values is also shown. Based on the asymptotic compactness via weak convergence method and pullback absorbing set on appropriate functional phase spaces, we get the existence of pullback attractors.

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Published

2022-04-14

Issue

Vol. 35 No. 2 (2022)

Section

Articles