Asymptotic properties of quenching for the quasilinear electrostatic micro-electro-mechanical system

被引：0
作者：
Zhu, Liping [1 ]
He, Shujuan [1 ]
机构：
[1] Xian Univ Architecture & Technol, Sch Sci, Xian 710055, Peoples R China
来源：
MODERN PHYSICS LETTERS B | 2021年 / 35卷 / 16期
基金：
中国国家自然科学基金;
关键词：
Electrostatic MEMS; quasilinear parabolic equations; quenching phenomenon; asymptotic behavior; HEAT-EQUATIONS; CAUCHY-PROBLEM; BEHAVIOR;
D O I：
10.1142/S0217984921502699
中图分类号：
O59 [应用物理学];
学科分类号：
摘要：
This study focuses on the asymptotic properties of quenching solutions for the quasilinear parabolic electrostatic micro-electro-mechanical system with singular logarithm boundary flux. Under some assumptions on initial data, quenching in finite time, blowup phenomenon of a time derivative, lower and upper bounds of quenching rate are studied theoretically, and the asymptotic behaviors near quenching time are verified numerically.
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页数：12
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