Open Access Research

Remarks on uniform attractors for the 3D non-autonomous Navier-Stokes-Voight equations

Yiwen Dou12, Xinguang Yang3* and Yuming Qin4

Author Affiliations

1 College of Information Sciences and Technology, Donghua University, Songjiang, Shanghai, 201620, People's Republic of China

2 College of Computer and Information Sciences, Anhui Polytechnique University, Wuhu, Anhui, 241000, People's Republic of China

3 College of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, People's Republic of China

4 Department of Applied Mathematics, Donghua University, Songjiang, Shanghai, 201620, People's Republic of China

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Boundary Value Problems 2011, 2011:49  doi:10.1186/1687-2770-2011-49

Published: 28 November 2011

Abstract

In this paper, we show the existence of pullback attractors for the non-autonomous Navier-Stokes-Voight equations by using contractive functions, which is more simple than the weak continuous method to establish the uniformly asymptotical compactness in H1 and H2.

2010 Mathematics Subject Classification: 35D05; 35M10

Keywords:
Navier-Stokes-Voight equations; processes; contractive functions; uniform attractors