Quenching rate for a nonlocal problem arising in the micro-electro mechanical system
學年 106
學期 2
出版（發表）日期 2018-03-01
作品名稱 Quenching rate for a nonlocal problem arising in the micro-electro mechanical system
作品名稱（其他語言）
著者 Jong-Shenq Guo; Bei Hu
單位
出版者
著錄名稱、卷期、頁數 Journal of Differential Equations, 264, 3285- 3311
摘要 In this paper, we study the quenching rate of the solution for a nonlocal parabolic problem which arises in the study of the micro-electro mechanical system. This question is equivalent to the stabilization of the solution to the transformed problem in self-similar variables. some a priori estimates are provided. In order to construct a Lyapunov function, due to the lack of time monotonicity property, we then derive some very useful and challenging estimates by a delicate analysis. Finally, with this Lyapunov function, we prove that the quenching rate is self-similar which is the same as the problem without the nonlocal term, except the constant limit depends on the solution itself.
關鍵字 Quenching;Micro-electro mechanical system (MEMS);Lyapunov function;Non-local;Self-similar;Asymptotic
語言 en_US
ISSN
期刊性質 國外
收錄於 SCI
產學合作
通訊作者 Jong-Shenq Guo
審稿制度 是
國別 USA
公開徵稿
出版型式 ,電子版,紙本
相關連結

機構典藏連結 ( http://tkuir.lib.tku.edu.tw:8080/dspace/handle/987654321/114915 )