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Discrete Dynamics in Nature and Society
Volume 2015, Article ID 721673, 9 pages
http://dx.doi.org/10.1155/2015/721673
Research Article

Approximate Kelvin-Voigt Fluid Driven by an External Force Depending on Velocity with Distributed Delay

1School of Mathematics and Statistics, Huazhong University of Science and Technology, Wuhan, Hubei 430074, China
2School of Mathematics and Statistics, Xuchang University, Xuchang, Henan 461000, China
3School of Statistics and Mathematics, Zhongnan University of Economics and Law, Wuhan, Hubei 430073, China

Received 23 March 2015; Accepted 2 May 2015

Academic Editor: Luca Gori

Copyright © 2015 Yantao Guo et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We consider the approximate 3D Kelvin-Voigt fluid driven by an external force depending on velocity with distributed delay. We investigate the long time behavior of solutions to Navier-Stokes-Voigt equation with a distributed delay external force depending on the velocity of fluid on a bounded domain. By a prior estimate and a contractive function, we give a sufficient condition for the existence of pullback attractor of NSV equation.