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

Kavallaris, Nikos I.

dc.contributor.author	Kavallaris, Nikos I.	*
dc.date.accessioned	2016-08-26T13:03:08Z
dc.date.available	2016-08-26T13:03:08Z
dc.date.issued	2016-09-15
dc.identifier.citation	Kavallaris, N. I. (2018). Quenching solutions of a stochastic parabolic problem arising in electrostatic MEMS control. Mathematical Methods in the Applied Sciences, 41(3), 1074-1082. doi:10.1002/mma.4176	en
dc.identifier.issn	1099-1476
dc.identifier.doi	10.1002/mma.4176
dc.identifier.uri	http://hdl.handle.net/10034/618944
dc.description	This is the peer reviewed version of the following article: Kavallaris, N. I. (2018). Quenching solutions of a stochastic parabolic problem arising in electrostatic MEMS control. Mathematical Methods in the Applied Sciences, 41(3), 1074-1082. doi:10.1002/mma.4176, 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.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.
dc.language.iso	en	en
dc.publisher	Wiley	en
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	en
dc.subject	Electrostatic MEMS, touchdown, quenching, stochastic semilinear partial differential equations	en
dc.title	Quenching solutions of a stochastic parabolic problem arising in electrostatic MEMS control	en
dc.type	Article	en
dc.contributor.department	University of Chester	en
dc.identifier.journal	Mathematical Methods in the Applied Sciences
dc.date.accepted	2016-08-23
or.grant.openaccess	Yes	en
rioxxterms.funder	unfunded	en
rioxxterms.identifier.project	unfounded	en
rioxxterms.version	NA	en
rioxxterms.licenseref.startdate	2017-09-15
html.description.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.
rioxxterms.publicationdate	2016-09-15