Pullback Dynamics of 2D Non-autonomous Navier-Stokes Equations with Klein-Voight Damping and Multi-delays

Keqin Su; Yanbin Sun; Lan Huang; Xin-Guang Yang

doi:10.4208/jpde.v29.n4.4

Authors

Keqin Su School of Information Science and Technology, Donghua University, Shanghai 201620, China
Yanbin Sun College of Mathematics and Information Science, Pingdingshan University, Pingdingshan 467000, China
Lan Huang College of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou 450011, China
Xin-Guang Yang Department of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China

DOI:

https://doi.org/10.4208/jpde.v29.n4.4

Keywords:

Navier-Stokes equations with Klein-Voight damping;continuous delay;distributed delay;pullback dynamics

Abstract

This paper is concerned with the pullback dynamics of 2D non-autonomous Navier-Stokes-Voigt equations with continuous and distributed delays on bounded domain. Under some regular assumptions on initial and delay data, the existence of evolutionary process and the family of pullback attractors for this fluid flow model with Klein-Voight damping are derived. The regular assumption of external force is less than [1].