On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control
AffiliationUniversity of Chester; Heriot-Watt University; University of Aegean
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AbstractWe consider a nonlocal parabolic model for a micro-electro-mechanical system. Specifically, for a radially symmetric problem with monotonic initial data, it is shown that the solution quenches, so that touchdown occurs in the device, in a situation where there is no steady state. It is also shown that quenching occurs at a single point and a bound on the approach to touchdown is obtained. Numerical simulations illustrating the results are given.
CitationKavallaris, N. I., Lacey, A. A., Nikolopoulos, C. V. (2016). On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control. Nonlinear Analysis: Theory Methods and Applications, 138, 189-206. DOI: 10.1016/j.na.2016.02.001
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