Asymptotic properties of quenching for the quasilinear electrostatic micro-electro-mechanical system
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Published:2021-03-22
Issue:
Volume:
Page:2150269
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ISSN:0217-9849
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Container-title:Modern Physics Letters B
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language:en
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Short-container-title:Mod. Phys. Lett. B
Author:
Zhu Liping1ORCID,
He Shujuan1
Affiliation:
1. School of Science, Xi’an University of Architecture and Technology, Xi’an, 710055, P. R. China
Abstract
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.
Funder
National Natural Science Foundation of China
Publisher
World Scientific Pub Co Pte Lt
Subject
Condensed Matter Physics,Statistical and Nonlinear Physics