General Decay for a Thermoelastic Problem of a Microbeam with Gurtin-Pipkin Thermal Law  

作　　者：Dong-qin CHEN Wen-jun LIU Zhi-jing CHEN 

机构地区：[1]School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China

出　　处：《Acta Mathematicae Applicatae Sinica》2022年第2期426-440,共15页应用数学学报（英文版）

基　　金：supported by the Natural Science Foundation of China(No.11771216);the Key Research and Development Program of Jiangsu Province(Social Development)(No.BE2019725);the Qing Lan Project of Jiangsu Province。

摘　　要：In this paper,we study the well-posedness and the asymptotic stability of a one-dimensional thermoelastic microbeam system,where the heat conduction is given by Gurtin-Pipkin thermal law.We first establish the well-posedness of the system by using the semigroup arguments and Lumer-Phillips theorem.We then obtain an explicit and general formula for the energy decay rates through perturbed energy method and some properties of the convex functions.

关 键 词：microbeam system Gurtin-Pipkin thermal law well-posedness general decay 

分 类 号：O411[理学—理论物理]