TY - JOUR
T1 - The Pullback Asymptotic Behavior of the Solutions for 2D Nonautonomous G-Navier-Stokes Equations
AU - Jiang , Jinping
AU - Hou , Yanren
AU - Wang , Xiaoxia
JO - Advances in Applied Mathematics and Mechanics
VL - 2
SP - 223
EP - 237
PY - 2012
DA - 2012/04
SN - 4
DO - http://doi.org/10.4208/aamm.10-m1071
UR - https://global-sci.org/intro/article_detail/aamm/116.html
KW - Pullback attractor, G-Navier-Stokes equation, fractal dimension, the measure of
noncompactness, bounded domains.
AB - <p style="text-align: justify;">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.</p>