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Pullback Attractors for Nonautonomous 2D-Navier-Stokes Models with Variable Delays
Author(s) -
Xiaoli Liu,
Yejuan Wang
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/425031
Subject(s) - pullback attractor , mathematics , uniqueness , equicontinuity , bounded function , attractor , pullback , mathematical analysis , measure (data warehouse) , space (punctuation) , set (abstract data type) , pure mathematics , linguistics , philosophy , database , computer science , programming language
Using a method based on the concept of the Kuratowski measure of the noncompactness of a bounded set as well as some new estimates of the equicontinuity of the solutions, we prove the existence of a unique pullback attractor in higher regularity space for the multivalued process associated with the nonautonomous 2D-Navier-Stokes model with delays and without the uniqueness of solutions

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