On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control
dc.contributor.author | Kavallaris, Nikos I. | * |
dc.contributor.author | Lacey, Andrew A. | * |
dc.contributor.author | Nikolopoulos, Christos V. | * |
dc.date.accessioned | 2016-03-07T10:46:51Z | |
dc.date.available | 2016-03-07T10:46:51Z | |
dc.date.issued | 2016-02-28 | |
dc.identifier.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 | en |
dc.identifier.issn | 0362-546X | en |
dc.identifier.doi | 10.1016/j.na.2016.02.001 | |
dc.identifier.uri | http://hdl.handle.net/10034/600672 | |
dc.description.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. | |
dc.language.iso | en | en |
dc.publisher | Elsevier | en |
dc.relation.url | http://www.journals.elsevier.com/nonlinear-analysis-theory-methods-and-applications | en |
dc.relation.url | http://www.sciencedirect.com/science/article/pii/S0362546X16000365 | en |
dc.subject | Electrostatic MEMS, touchdown, quenching | en |
dc.title | On the quenching of a nonlocal parabolic problem arising in electrostatic MEMS control | en |
dc.type | Article | en |
dc.contributor.department | University of Chester; Heriot-Watt University; University of Aegean | en |
dc.identifier.journal | Nonlinear Analysis: Theory Methods and Applications | |
dc.internal.reviewer-note | Awaiting publication? Waiting for email reply SM 05/02/16 | en |
html.description.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. | |
rioxxterms.publicationdate | 2016-02-28 |