应用数学和力学2011,Vol.32Issue(2):144-157,14.DOI:10.3879/j.issn.1000-0887.2011.02.003
含线性阻尼的2D非自治g-Navier-Stokes方程的拉回吸引子
Pullback Attractor of 2D Nonautonomous g-Navier-Stokes Equations With Linear Dampness
摘要
Abstract
The pullback attractors for the 2D non-autonomous g-Navier-Stokes equations with linear dampness on some unbounded domains were investigated.The existence of the pullback attractors was proved by verifying the existence of pullback (D)-absorbing sets with cocycle and obtaining the pullback (D)-asymptotic compactness.Furthermore, the estimation of the fractal dimensions for the 2D g-Navier-Stokes equations was given.关键词
拉回吸引子/g-Navier-Stokes方程/拉回渐近紧性/Fractal维数/线性阻尼分类
数学引用本文复制引用
姜金平,侯延仁,王小霞..含线性阻尼的2D非自治g-Navier-Stokes方程的拉回吸引子[J].应用数学和力学,2011,32(2):144-157,14.基金项目
国家自然科学基金资助项目(10871156) (10871156)