Quenching for a parabolic equation with variable coefficient modeling MEMS technology

被引：6

作者：

Zhou, Jun ^{[1
]}

机构：

[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2017年 / 314卷

基金：

中国博士后科学基金;

关键词：

MEMS; Variable coefficient; Quenching; Stationary solution; PARTIAL-DIFFERENTIAL-EQUATIONS; ELECTROSTATIC MEMS; HEAT-EQUATIONS; BLOW-UP; BOUNDARY; TOUCHDOWN; BEHAVIOR; DEVICES;

D O I：

10.1016/j.amc.2017.06.026

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with a parabolic equation with variable coefficient modeling MEMS technology, and we will prove the solution of the problem quenches in finite time in the case without stationary solutions. Numerical simulations are presented to illustrate the theoretical results. (C) 2017 Elsevier Inc. All rights reserved.

引用

页码：7 / 11

页数：5

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