Attractor for the extensible beam equation with nonlocal weak damping on time–dependent space
Attractor for the extensible beam equation with nonlocal weak damping on time–dependent space作者机构：Institute of Applied System Analysis Jiangsu University School of Mathematics and Physics Jiangsu University of Technology
出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期：2022年
核心收录：
学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学]
基 金：Supported by National Natural Science Foundation of China (Grant No.12101265,12026431,11701230,11731005) QingLan Project of Jiangsu Province the dual creative (innovative and entrepreneurial) talents project in Jiangsu Province(JSSCBS20210973)
摘 要：In this article, we consider the long-time behavior of extensible beams with nonlocal weak damping: ε（t）utt + △u-m（ u 2）△u + ut put + f（u） = h, where ε（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（Ct） method and more detailed estimates. The results obtained essentially improve and complete some previous works.
同方期刊数据库