Open AccessOn the Dimension of the Pullback Attractors for g-Navier-Stokes Equations
Author(s) -
Delin Wu
Publication year - 2010
Publication title -
discrete dynamics in nature and society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.264
H-Index - 39
eISSN - 1607-887X
pISSN - 1026-0226
DOI - 10.1155/2010/893240
Subject(s) - pullback attractor , pullback , bounded function , mathematics , attractor , fractal dimension , domain (mathematical analysis) , dimension (graph theory) , mathematical analysis , pure mathematics , fractal
We consider the asymptotic behaviour of nonautonomous 2D g-Navier-Stokes equations in bounded domain Ω. Assuming that f∈Lloc2, which is translation bounded, the existence of the pullback attractor isproved in L2(Ω) and H1(Ω). It is proved that the fractal dimension of thepullback attractor is finite
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