无界区域上具线性阻尼的二维Navier-Stokes方程的拉回吸引子  

Pullback Attractors for Non-autonomous 2D Navier-Stokes Equations with Linear Dampness in Some Unbounded Domains

作　　者：王小虎[1] 李树勇[2] 

机构地区：[1]四川大学数学学院,成都610064 [2]四川师范大学数学与软件科学学院,成都610066

出　　处：《数学物理学报（A辑）》2009年第4期873-881,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(10371083)资助

摘　　要：该文首先介绍拉回渐近紧非自治动力系统的概念,给出非自治动力系统拉回吸引子存在定理.最后证明了无界区域上具线性阻尼的二维Navier-Stokes方程的拉回吸引子的存在性,并给出了其Fractal维数估计.In this paper, the concept of pullback asymptotically compact non-autonomous dynamical system is firstly introduced. Then, a result ensuring the existence of a pullback attractor for a non-autonomous dynamical system is given. Finally, the existence of a pullback attractor for a non-autonomous 2D Navier-Stokes equation with linear dampness in some unbounded domains is proved. Moreover, the upper bounds of Fractal dimension of the pullback attractor is estimated.

关 键 词：渐近紧 过程 非自治 线性阻尼 拉回吸引子 

分 类 号：O175.26[理学—数学]