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Asymptotic Behavior of Solutions for the Non-autonomous Suspension Bridge

Author: YangYun
Tutor: MaQiaoZhen
School: Northwest Normal University
Course: Applied Mathematics
Keywords: non-autonomous suspension bridge equation uniform compact at-tractors asymptotic regularity exponential attractors
CLC: O19
Type: Master's thesis
Year: 2013
Downloads: 2
Quote: 0
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In this paper, we study the long-time behavior of the solutions for the non-autonomous suspension bridge equations. Recently, many mathematical authors are interested in them and have obtained some excellent results such as [1-6].Our main results:we consider the following non-autonomous suspension bridge equations where Ω is a bounded domain in R5with smooth boundary. First, when g E Lb2(R,H2(Ω)), we obtain the existence of uniform compact attractors in H0. Fur-thermore, the asymptotic regularity of solution is proved, and based on this regu-larity, we investigate the existence of the exponential attractors in H0for the case g∈Lb2(R,L2(Ω)).

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CLC: > Mathematical sciences and chemical > Mathematics > Dynamical systems theory
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