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

Authors

  • Jinping Jiang
  • Yanren Hou
  • Xiaoxia Wang

DOI:

https://doi.org/10.4208/aamm.10-m1071

Keywords:

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

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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Published

2018-08-10

Issue

Vol. 4 No. 2 (2012)

Section

Articles