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The Pullback Asymptotic Behavior of the Solutions for 2D Nonautonomous G-Navier-Stokes Equations
Authors:Jinping Jiang  Yanren Hou & Xiaoxia Wang
Abstract:The pullback asymptotic behavior of the solutions for 2D NonautonomousG-Navier-Stokes equations is studied, and the existence of its $L^2$-pullback attractors on some bounded domains with Dirichlet boundary conditionsis investigated by using the measure of noncompactness. Then the estimation ofthe fractal dimensions for the 2D G-Navier-Stokes equations is given.
Keywords:Pullback attractor   G-Navier-Stokes equation   fractal dimension   the measure ofnoncompactness   bounded domains.
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