On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control
Analysis of PDEs
2016-02-26 v1
Abstract
We 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.
Keywords
Cite
@article{arxiv.1602.07888,
title = {On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control},
author = {Nikos Kavallaris and Andrew Lacey and Christos Nikolopoulos},
journal= {arXiv preprint arXiv:1602.07888},
year = {2016}
}
Comments
19 pages, 6 figures