On a nonlocal parabolic problem arising in electrostatic MEMS control
學年 100
學期 2
出版（發表）日期 2012-05-01
作品名稱 On a nonlocal parabolic problem arising in electrostatic MEMS control
作品名稱（其他語言）
著者 Guo, Jong-Shenq; Kavallaris, Nikos I.
單位 淡江大學數學學系
出版者 Springfield: American Institute of Mathematical Sciences
著錄名稱、卷期、頁數 Discrete and Continuous Dynamical Systems 32(5), pp.1723-1746
摘要 We consider a nonlocal parabolic equation associated with Dirichlet boundary and initial conditions arising in MEMS control. First, we investigate the structure of the associated steady-state problem for a general star-shaped domain. Then we classify radially symmetric stationary solutions and their radial Morse indices. Finally, we study under which circumstances the solution of the time-dependent problem is global-in-time or quenches in finite time.
關鍵字 Electrostatic MEMS; touchdown; quenching; Morse index
語言 en
ISSN 1078-0947
期刊性質 國外
收錄於 SCI
產學合作
通訊作者
審稿制度
國別 USA
公開徵稿
出版型式 紙本
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