ASYMPTOTIC BEHAVIOR OF PULLBACK ATTRACTORS FOR NON-AUTONOMOUS MICROPOLAR FLUID FLOWS IN 2D UNBOUNDED DOMAINS

作者：Sun, Wenlong; Li, Yeping^*

来源：Electronic Journal of Differential Equations, 2018, 03.

• Micropolar fluid flow
• pullback attractor
• truncation function
• tempered behavior
• upper semicontinuity

In this article, we investigate the pullback asymptotic behavior of solutions for a non-autonomous micropolar fluid flows in 2D unbounded channel-like domains. First, applying the technique of truncation functions, decomposition of spatial domain, and the energy method, we show the existence of the pullback attractor in the space (H) over cap(Omega) (has L-2-regularity). In fact, we can deduce the existence of pullback attractor in space (V) over cap(Omega) (has H-1-regularity). Also the tempered behavior of the pullback attractor is verified. Moreover, when the spatial domain varies from Omega(m)({Omega(m)}(m)(infinity) = 1 be an expanding sequence of simply connected, bounded and smooth subdomains of Omega such that U-m(infinity) =1 Omega(m) = Omega) to Omega, the upper semicontinuity of the pullback attractor is discussed.

• 出版日期2018-1-4
• 单位华东理工大学