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On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control
Kavallaris, Nikos I. Lacey, Andrew A. Nikolopoulos, Christos V.
Kavallaris, Nikos I.
Lacey, Andrew A.
Nikolopoulos, Christos V.
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2016-02-28
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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.
Citation
Kavallaris, 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
Publisher
Elsevier
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Nonlinear Analysis: Theory Methods and Applications
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Article
Language
en
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ISSN
0362-546X