Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 205, Issue 2, Pages 271-297Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2004.04.012
Keywords
2D-Navier-Stokes equations; pullback attractor; forward attractor; variable delay; distributed delay
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The existence of an attractor for a 2D-Navier-Stokes system with delay is proved. The theory of pullback attractors is successfully applied to obtain the results since the abstract functional framework considered turns out to be nonautonomous. However, on some occasions, the attractors may attract not only in the pullback sense but in the forward one as well. Also, this formulation allows to treat, in a unified way, terms containing various classes of delay features (constant, variable, distributed delays, etc.). As a consequence, some results for the autonomous model are deduced as particular cases of our general formulation. (C) 2004 Elsevier Inc. All rights reserved.
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