Details
Original language | English |
---|---|
Pages (from-to) | 1373-1393 |
Number of pages | 21 |
Journal | Applied Mathematics and Optimization |
Volume | 84 |
Issue number | 2 |
Early online date | 14 May 2020 |
Publication status | Published - Oct 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.
Keywords
- Gamma convergence, MEMS, Mixed boundary conditions, Non-Lipschitz domains, Transmission problem
ASJC Scopus subject areas
- Mathematics(all)
- Control and Optimization
- Mathematics(all)
- Applied Mathematics
Cite this
- Standard
- Harvard
- Apa
- Vancouver
- BibTeX
- RIS
In: Applied Mathematics and Optimization, Vol. 84, No. 2, 10.2021, p. 1373-1393.
Research output: Contribution to journal › Article › Research › peer review
}
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 -