Quenching solutions of a stochastic parabolic problem arising in electrostatic MEMS control

Hdl Handle:
http://hdl.handle.net/10034/618944
Title:
Quenching solutions of a stochastic parabolic problem arising in electrostatic MEMS control
Authors:
Kavallaris, Nikos I.
Abstract:
In the current paper, we consider a stochastic parabolic equation which actually serves as a mathematical model describing the operation of an electrostatic actuated micro-electro-mechanical system (MEMS). We first present the derivation of the mathematical model. Then after establishing the local well-posedeness of the problem we investigate under which circumstances a {\it finite-time quenching} for this SPDE, corresponding to the mechanical phenomenon of {\it touching down}, occurs. For that purpose the Kaplan's eigenfunction method adapted in the context of SPDES is employed.
Affiliation:
University of Chester
Citation:
Kavallaris, N. I. (2016). Quenching solutions of a stochastic parabolic problem arising in electrostatic MEMS control. Mathematical Methods in the Applied Sciences, n/a-n/a. doi:10.1002/mma.4176
Publisher:
Wiley
Journal:
Mathematical Methods in the Applied Sciences
Publication Date:
15-Sep-2016
URI:
http://hdl.handle.net/10034/618944
DOI:
10.1002/mma.4176
Type:
Article
Language:
en
Description:
This is the peer reviewed version of the following article: Kavallaris, N. I. (2016). Quenching solutions of a stochastic parabolic problem arising in electrostatic MEMS control. Mathematical Methods in the Applied Sciences, which has been published in final form at DOI: 10.1002/mma.4176. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving
ISSN:
other
Appears in Collections:
Mathematics

Full metadata record

DC FieldValue Language
dc.contributor.authorKavallaris, Nikos I.en
dc.date.accessioned2016-08-26T13:03:08Z-
dc.date.available2016-08-26T13:03:08Z-
dc.date.issued2016-09-15-
dc.identifier.citationKavallaris, N. I. (2016). Quenching solutions of a stochastic parabolic problem arising in electrostatic MEMS control. Mathematical Methods in the Applied Sciences, n/a-n/a. doi:10.1002/mma.4176-
dc.identifier.issnother-
dc.identifier.doi10.1002/mma.4176-
dc.identifier.urihttp://hdl.handle.net/10034/618944-
dc.descriptionThis is the peer reviewed version of the following article: Kavallaris, N. I. (2016). Quenching solutions of a stochastic parabolic problem arising in electrostatic MEMS control. Mathematical Methods in the Applied Sciences, which has been published in final form at DOI: 10.1002/mma.4176. This article may be used for non-commercial purposes in accordance with Wiley Terms and Conditions for Self-Archiving-
dc.description.abstractIn the current paper, we consider a stochastic parabolic equation which actually serves as a mathematical model describing the operation of an electrostatic actuated micro-electro-mechanical system (MEMS). We first present the derivation of the mathematical model. Then after establishing the local well-posedeness of the problem we investigate under which circumstances a {\it finite-time quenching} for this SPDE, corresponding to the mechanical phenomenon of {\it touching down}, occurs. For that purpose the Kaplan's eigenfunction method adapted in the context of SPDES is employed.en
dc.language.isoenen
dc.publisherWileyen
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/en
dc.subjectElectrostatic MEMS, touchdown, quenching, stochastic semilinear partial differential equationsen
dc.titleQuenching solutions of a stochastic parabolic problem arising in electrostatic MEMS controlen
dc.typeArticleen
dc.contributor.departmentUniversity of Chesteren
dc.identifier.journalMathematical Methods in the Applied Sciencesen
dc.date.accepted2016-08-23-
or.grant.openaccessYesen
rioxxterms.funderunfundeden
rioxxterms.identifier.projectunfoundeden
rioxxterms.versionNAen
rioxxterms.licenseref.startdate15/09/2017-
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