Reinforced Limit of a MEMS Model with Heterogeneous Dielectric Properties

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Philippe Laurençot
  • Katerina Nik
  • Christoph Walker

Organisationseinheiten

Externe Organisationen

  • Université de Toulouse
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)1373-1393
Seitenumfang21
FachzeitschriftApplied Mathematics and Optimization
Jahrgang84
Ausgabenummer2
Frühes Online-Datum14 Mai 2020
PublikationsstatusVeröffentlicht - Okt. 2021

Abstract

A MEMS model with an insulating layer is considered and its reinforced limit is derived by means of a Gamma convergence approach when the thickness of the layer tends to zero. The limiting model inherits the dielectric properties of the insulating layer.

ASJC Scopus Sachgebiete

Zitieren

Reinforced Limit of a MEMS Model with Heterogeneous Dielectric Properties. / Laurençot, Philippe; Nik, Katerina; Walker, Christoph.
in: Applied Mathematics and Optimization, Jahrgang 84, Nr. 2, 10.2021, S. 1373-1393.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Laurençot P, Nik K, Walker C. Reinforced Limit of a MEMS Model with Heterogeneous Dielectric Properties. Applied Mathematics and Optimization. 2021 Okt;84(2):1373-1393. Epub 2020 Mai 14. doi: 10.1007/s00245-020-09681-4
Laurençot, Philippe ; Nik, Katerina ; Walker, Christoph. / Reinforced Limit of a MEMS Model with Heterogeneous Dielectric Properties. in: Applied Mathematics and Optimization. 2021 ; Jahrgang 84, Nr. 2. S. 1373-1393.
Download
@article{8d03ab301aed47c695481b03cc4fb16c,
title = "Reinforced Limit of a MEMS Model with Heterogeneous Dielectric Properties",
abstract = "A MEMS model with an insulating layer is considered and its reinforced limit is derived by means of a Gamma convergence approach when the thickness of the layer tends to zero. The limiting model inherits the dielectric properties of the insulating layer.",
keywords = "Gamma convergence, MEMS, Mixed boundary conditions, Non-Lipschitz domains, Transmission problem",
author = "Philippe Lauren{\c c}ot and Katerina Nik and Christoph Walker",
note = "Funding Information: Partially supported by the CNRS Projet International de Coop{\'e}ration Scientifique PICS07710. ",
year = "2021",
month = oct,
doi = "10.1007/s00245-020-09681-4",
language = "English",
volume = "84",
pages = "1373--1393",
journal = "Applied Mathematics and Optimization",
issn = "0095-4616",
publisher = "Springer New York",
number = "2",

}

Download

TY - JOUR

T1 - Reinforced Limit of a MEMS Model with Heterogeneous Dielectric Properties

AU - Laurençot, Philippe

AU - Nik, Katerina

AU - Walker, Christoph

N1 - Funding Information: Partially supported by the CNRS Projet International de Coopération Scientifique PICS07710.

PY - 2021/10

Y1 - 2021/10

N2 - A MEMS model with an insulating layer is considered and its reinforced limit is derived by means of a Gamma convergence approach when the thickness of the layer tends to zero. The limiting model inherits the dielectric properties of the insulating layer.

AB - A MEMS model with an insulating layer is considered and its reinforced limit is derived by means of a Gamma convergence approach when the thickness of the layer tends to zero. The limiting model inherits the dielectric properties of the insulating layer.

KW - Gamma convergence

KW - MEMS

KW - Mixed boundary conditions

KW - Non-Lipschitz domains

KW - Transmission problem

UR - http://www.scopus.com/inward/record.url?scp=85084840949&partnerID=8YFLogxK

U2 - 10.1007/s00245-020-09681-4

DO - 10.1007/s00245-020-09681-4

M3 - Article

AN - SCOPUS:85084840949

VL - 84

SP - 1373

EP - 1393

JO - Applied Mathematics and Optimization

JF - Applied Mathematics and Optimization

SN - 0095-4616

IS - 2

ER -