Convergence of Energy Minimizers of a MEMS Model in the Reinforced Limit
Open Access
- 14 June 2021
- journal article
- research article
- Published by Springer Science and Business Media LLC in Acta Applicandae Mathematicae
- Vol. 173 (1), 1-23
- https://doi.org/10.1007/s10440-021-00416-3
Abstract
Energy minimizers to a MEMS model with an insulating layer are shown to converge in its reinforced limit to the minimizer of the limiting model as the thickness of the layer tends to zero. The proof relies on the identification of the $\Gamma $ Γ -limit of the energy in this limit.Keywords
Funding Information
- Universität Wien
This publication has 17 references indexed in Scilit:
- Some singular equations modeling MEMSBulletin of the American Mathematical Society, 2016
- Regularized model of post-touchdown configurations in electrostatic MEMS: interface dynamicsIMA Journal of Applied Mathematics, 2015
- Regularized model of post-touchdown configurations in electrostatic MEMS: Equilibrium analysisPhysica D: Nonlinear Phenomena, 2014
- Mathematical Analysis of Partial Differential Equations Modeling Electrostatic MEMSPublished by American Mathematical Society (AMS) ,2010
- Analysis of the Dynamics and Touchdown in a Model of Electrostatic MEMSSIAM Journal on Applied Mathematics, 2007
- Touchdown and Pull-In Voltage Behavior of a MEMS Device with Varying Dielectric PropertiesSIAM Journal on Applied Mathematics, 2005
- Mathematical Modeling of Electrostatic MEMS with Tailored Dielectric PropertiesSIAM Journal on Applied Mathematics, 2002
- An Introduction to Γ-ConvergencePublished by Springer Science and Business Media LLC ,1993
- Reinforcement problems in the calculus of variationsAnnales de l'Institut Henri Poincaré C, Analyse non linéaire, 1986
- Reinforcement problems for elliptic equations and variational inequalitiesAnnali di Matematica Pura ed Applicata (1923 -), 1980