教師資料查詢 | 類別: 期刊論文 | 教師: 郭忠勝 Guo, Jong-shenq (瀏覽個人網頁)

標題: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
語言英文(美國)
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
國別美國
公開徵稿
出版型式,電子版,紙本
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