ESTIMATES FOR THE QUENCHING TIME OF A PARABOLIC EQUATION MODELING ELECTROSTATIC MEMS

被引：1

作者：

Ghoussoub, Nassif ^{[1
]}

Guo, Yujin ^{[2
]}

机构：

[1] Univ British Columbia, Dept Math, Vancouver, BC V6T 1Z2, Canada

[2] Univ Minnesota, Sch Math, Minneapolis, MN 55455 USA

来源：

METHODS AND APPLICATIONS OF ANALYSIS | 2008年 / 15卷 / 03期

关键词：

Electrostatic MEMS; quenching time; quenching set;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The singular parabolic problem ut - Delta u - lambda f(x)/(1+u)(2) on a bounded domain Omega of R-N with Dirichlet boundary conditions, models the dynamic deflection of an elastic membrane in a simple electrostatic Micro-Electromechanical System (MEMS) device. In this paper, we analyze and estimate the quenching time of the elastic membrane in terms of the applied voltage represented here by lambda. As a byproduct, we prove that for sufficiently large lambda, finite-time quenching must occur near the maximum point of the varying dielectric permittivity profile f(x).

引用

页码：361 / 376

页数：16