On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control

Hdl Handle:
http://hdl.handle.net/10034/600672
Title:
On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control
Authors:
Kavallaris, Nikos I.; Lacey, Andrew A.; Nikolopoulos, Christos V.
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.
Affiliation:
University of Chester; Heriot-Watt University; University of Aegean
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
Journal:
Nonlinear Analysis: Theory Methods and Applications
Publication Date:
28-Feb-2016
URI:
http://hdl.handle.net/10034/600672
DOI:
10.1016/j.na.2016.02.001
Additional Links:
http://www.journals.elsevier.com/nonlinear-analysis-theory-methods-and-applications; http://www.sciencedirect.com/science/article/pii/S0362546X16000365
Type:
Article
Language:
en
ISSN:
0362-546X
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorKavallaris, Nikos I.en
dc.contributor.authorLacey, Andrew A.en
dc.contributor.authorNikolopoulos, Christos V.en
dc.date.accessioned2016-03-07T10:46:51Zen
dc.date.available2016-03-07T10:46:51Zen
dc.date.issued2016-02-28en
dc.identifier.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.2016.02.001en
dc.identifier.issn0362-546Xen
dc.identifier.doi10.1016/j.na.2016.02.001en
dc.identifier.urihttp://hdl.handle.net/10034/600672en
dc.description.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.en
dc.language.isoenen
dc.publisherElsevieren
dc.relation.urlhttp://www.journals.elsevier.com/nonlinear-analysis-theory-methods-and-applicationsen
dc.relation.urlhttp://www.sciencedirect.com/science/article/pii/S0362546X16000365en
dc.subjectElectrostatic MEMS, touchdown, quenchingen
dc.titleOn the quenching of a nonlocal parabolic problem arising in electrostatic MEMS controlen
dc.typeArticleen
dc.contributor.departmentUniversity of Chester; Heriot-Watt University; University of Aegeanen
dc.identifier.journalNonlinear Analysis: Theory Methods and Applicationsen
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