VANISHING ASPECT RATIO LIMIT FOR A FOURTH-ORDER MEMS MODEL - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Annali di Matematica Pura ed Applicata Année : 2017

VANISHING ASPECT RATIO LIMIT FOR A FOURTH-ORDER MEMS MODEL

Résumé

So far most studies on mathematical models for microelectromechanical systems (MEMS) are focused on the so-called small aspect ratio model which is a wave or beam equation with a singular source term. It is formally derived by setting the aspect ratio equal to zero in a more complex model involving a moving boundary. A rigorous justification of this derivation is provided here when bending is taken into account.
Fichier principal
Vignette du fichier
SG4O_160111.pdf (233.25 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01256816 , version 1 (15-01-2016)

Identifiants

Citer

Philippe Laurençot, Christoph Walker. VANISHING ASPECT RATIO LIMIT FOR A FOURTH-ORDER MEMS MODEL. Annali di Matematica Pura ed Applicata, 2017, 196, pp.1537--1556. ⟨10.1007/s10231-016-0628-x⟩. ⟨hal-01256816⟩
136 Consultations
86 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More