无界区域上具线性阻尼的二维 Navier-Stokes 方程的拉回吸引子

Abstract

Abstract:

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.

Key words: Asymptotic compactness, Process, Non-autonomous, Linear dampness, Pullback attractor

CLC Number:

35B41

WANG Xiao-Hu, LI Shu-Yong. Pullback Attractors for Non-autonomous 2D Navier-Stokes Equations with Linear Dampness in Some Unbounded Domains[J].Acta mathematica scientia,Series A, 2009, 29(4): 873-881.

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

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