非自治浮梁方程强拉回吸引子的存在性

Existence of Strong Pullback Attractors for Non-autonomous Floating Beam Equation

本文试图研究具有自由边值条件的浮梁方程解的渐近性态,运用一系列能量估计证明了有界吸收集的存在性和拉回D-条件,进而得到该方程在强拓扑空间中拉回D-吸引子的存在性.

In this paper,we attempt to study the asymptotic behavior of the solution for the floating beam equation with free boundary value condition,we prove the existence of bounded absorption sets and pullback D-conditions by using a series of energy estimates,and then obtain the existence of pullback D-attractors of this equation in strong topological space.