scholarly journals Quenching rate for a nonlocal problem arising in the micro-electro mechanical system

2018 ◽  
Vol 264 (5) ◽  
pp. 3285-3311 ◽  
Author(s):  
Jong-Shenq Guo ◽  
Bei Hu
2021 ◽  
pp. 2150269
Author(s):  
Liping Zhu ◽  
Shujuan He

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.


2014 ◽  
Vol 45 (3) ◽  
pp. 229-241 ◽  
Author(s):  
Jong-Shenq Guo

In this paper, we study an evolution problem arises in the study of MEMS (micro-electro mechanical system) device. We consider both parabolic and hyperbolic type problems. We summarize some recent results on the steady states and the global vs non-global existence of solutions. We also list some open problems and provide a list (far from complete) of references related to this subject.


Heliyon ◽  
2021 ◽  
Vol 7 (3) ◽  
pp. e06406
Author(s):  
Ida Hamidah ◽  
Roer Eka Pawinanto ◽  
Budi Mulyanti ◽  
Jumril Yunas

2016 ◽  
Vol 70 (5) ◽  
pp. 897-904 ◽  
Author(s):  
Mazen Erfan ◽  
Yasser M Sabry ◽  
Mohammad Sakr ◽  
Bassem Mortada ◽  
Mostafa Medhat ◽  
...  

2021 ◽  
Vol 332 ◽  
pp. 113129
Author(s):  
Ara Yeon ◽  
Hong Goo Yeo ◽  
Yongrae Roh ◽  
Kyungseop Kim ◽  
Hee-Seon Seo ◽  
...  

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