Quenching phenomenon in an electrostatic micro-electromechanical system
and its asymptotic property
Abstract
In this paper, the asymptotic behavior of quenching solutions for
quasilinear parabolic equa- tions with singular logarithm boundary flux
arising in an electrostatic micro-electromechanical system (MEMS) is
studied. Under certain assumptions for the initial data, the existence
of quenching solutions, blowup phenomenon of time derivative, estimates
of lower and upper bounds of quenching rate and asymptotic behavior of
solutions near quenching time are studied theoretically and verified
numerically.