Dynamical solutions of singular parabolic equations modeling electrostatic MEMS

被引：5

作者：

Wang, Qi ^{[1
]}

机构：

[1] Tongji Univ, Dept Math, Shanghai 200092, Peoples R China

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2015年 / 22卷 / 04期

关键词：

MEMS equation; Quench; Globally bounded; PARTIAL-DIFFERENTIAL-EQUATIONS; QUENCHING TIME; TOUCHDOWN; DEVICES; COMPACTNESS;

D O I：

10.1007/s00030-014-0298-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the electrostatic MEMS-device parabolic equation, with Dirichlet boundary condition and a bounded domain of . Here is positive parameter and is a nonnegative continuous function. In this paper, we investigate the behavior of solutions for this problem. In particular, we show small initial value yields quenching behavior of the solutions. While large initial data leads global existence of the solutions.

引用

页码：629 / 650

页数：22

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