Asymptotic properties of quenching for the quasilinear electrostatic micro-electro-mechanical system
Keyword(s):
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.
2018 ◽
Vol 264
(5)
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pp. 3285-3311
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Keyword(s):