带弱耗散的两维非自治不可压Navier-Stokes方程拉回吸引子的上半连续性

Abstract

Abstract:

In this paper, the upper semi-continuity of pullback attractors for the 2D non-autonomous Navier-Stokes equations with weak damping and external force perturbation terms which describes the motion of fluid with weak damping was considered. By decomposition of process (semigroup) and some estimates, we obtained the pullback attractors A_ε(t) of equation (1.1) with ε>0 converges to the global attractor A of equation (1.1) with ε=0 for any t∈R.

Key words: Navier-Stokes equation, Pullback attractors, Upper semi-continuity

CLC Number:

O175.2

Yang Xinguang, Zhao Mingxia, Hou Wei. Upper Semi-Continuity of Pullback Attractors for the 2D Non-Autonomous Navier-Stokes Equations with Weak Damping[J].Acta mathematica scientia,Series A, 2016, 36(4): 722-739.

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Upper Semi-Continuity of Pullback Attractors for the 2D Non-Autonomous Navier-Stokes Equations with Weak Damping

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