The Pullback Asymptotic Behavior of the Solutions for 2D Nonautonomous G-Navier-Stokes Equations

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Abstract

The pullback asymptotic behavior of the solutions for 2D Nonautonomous G-Navier-Stokes equations is studied, and the existence of its $L^2$-pullback attractors on some bounded domains with Dirichlet boundary conditions is investigated by using the measure of noncompactness. Then the estimation of the fractal dimensions for the 2D G-Navier-Stokes equations is given.

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Pullback attractor G-Navier-Stokes equation fractal dimension the measure of noncompactness bounded domains.
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DOI

10.4208/aamm.10-m1071

How to Cite

[1]
2018. The Pullback Asymptotic Behavior of the Solutions for 2D Nonautonomous G-Navier-Stokes Equations. Advances in Applied Mathematics and Mechanics. 4, 2 (Aug. 2018), 223–237. DOI:https://doi.org/10.4208/aamm.10-m1071.