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
• 来源期刊: 应用数学学报（英文版）
• 年，卷（期）: 2022,（2）
• 页码范围: 426-440
• 页数: 15页
• 语种: 英文

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.