一类广义Navier-Stokes方程的整体吸引子及其维数估计Existence and Finite Dimensionality of the Global Attarctors for Generalized Navier Stokes Equations
何树红
HE Shu hong (Departem of Mathematics;
摘要(Abstract)：
本文证明一类广义 Navier-Stokes方程的整体吸引子的存在性 ,并得到了整体吸引子的 Hausdorff维数、分形维数估计 .
In this work,we obtain the existence of the global attractors for generalized Navier Stokes equations and prove that the m dimensional volume element in the phase space decays exponentially as tapproaches to infinity,and the Hausdroff dimension and the fractal dimension of the attractors are finite.
关键词(KeyWords)：
广义Navier-Stokes方程;整体吸引子;Hausdorff维数;分形维数
generalized Navier Stokes equations;global attractor;hausdorff dimension;fractal dimension
基金项目(Foundation): 云南省教委科学研究基金!( 980 0 5)
作者(Authors):
何树红
HE Shu hong (Departem of Mathematics;
DOI: 10.16366/j.cnki.1000-2367.2000.01.005
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