Approximate Kelvin-Voigt Fluid Driven by an External Force Depending on Velocity with Distributed Delay. (11th October 2015)

• Record Type: Journal Article
• Authors: Guo, Yantao; Cheng, Shuilin; Tang, Yanbin
• Other Names: Gori Luca Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2015(2015)
• Publication Date: 2015-10-11
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2015/721673
• Languages: English
• ISSNs: 1026-0226

Abstract

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.