典型文献
General Decay for a Thermoelastic Problem of a Microbeam with Gurtin-Pipkin Thermal Law
文献摘要：
In this paper,we study the well-posedness and the asymptotic stability of a one-dimensional ther-moelastic 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.
文献关键词：
中图分类号：
作者姓名：
Dong-qin CHEN;Wen-jun LIU;Zhi-jing CHEN
作者机构：
School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,China
文献出处：
引用格式：
[1]Dong-qin CHEN;Wen-jun LIU;Zhi-jing CHEN-.General Decay for a Thermoelastic Problem of a Microbeam with Gurtin-Pipkin Thermal Law)[J].应用数学学报（英文版）,2022(02):426-440
A类：
Thermoelastic,Microbeam,moelastic,microbeam,Lumer
B类：
General,Decay,Problem,Gurtin,Pipkin,Thermal,Law,In,this,paper,study,well,posedness,asymptotic,stability,one,dimensional,system,where,heat,conduction,given,by,thermal,law,We,first,establish,using,semigroup,arguments,Phillips,theorem,then,obtain,explicit,general,formula,energy,decay,rates,through,perturbed,method,some,properties,convex,functions
AB值：
0.618662
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