Attractor for the Extensible Beam Equation with Nonlocal Weak Damping on Time–Dependent Space  

作　　者：Chun Xiang ZHAO Feng Juan MENG 

机构地区：[1]Institute of Applied System Analysis,Jiangsu University,Zhenjiang 212013,P.R.China [2]School of Mathematics and Physics,Jiangsu University of Technology,Changzhou 213001,P.R.China

出　　处：《Acta Mathematica Sinica,English Series》2024年第4期1115-1126,共12页数学学报（英文版）

基　　金：National Natural Science Foundation of China(Grant Nos.12101265,12026431,11701230,11731005);Qing Lan Project of Jiangsu Province;the dual creative(innovative and entrepreneurial)talents project in Jiangsu Province(Grant No.JSSCBS20210973);China Postdoctoral Science Foundation(Grant No.2022M721392)。

摘　　要：In this article,we consider the long-time behavior of extensible beams with nonlocal weak damping:ε(t)u_(tt)+Δ^(2)u-m(‖▽u‖^(2))Δu+‖u_(t)‖^(p_(u_(t)))+f(u)=h,whereε(t)is a decreasing function vanishing at infinity.Within the theory of process on time-dependent spaces,we investigate the existence of the time-dependent attractor by using the Condition(C_(t))method and more detailed estimates.The results obtained essentially improve and complete some previous works.

关 键 词：Time-dependent attractor extensible beams equation nonlocal weak damping 

分 类 号：O175[理学—数学]