A new model for electrostatic MEMS with two free boundaries

Autor:	Kohlmann, Martin
Rok vydání:	2014
Předmět:	Mathematics - Analysis of PDEs 35R35 35J57 35B30 74F15 74M05
Zdroj:	J. Math. Anal. Appl. 408(2) 513-524 (2013)
Druh dokumentu:	Working Paper
DOI:	10.1016/j.jmaa.2013.06.012
Popis:	A moving boundary problem with two free boundaries modeling a two-dimensional idealized MEMS device with pull-in instability is discussed. We use a fixed point argument to show that the model possesses stationary solutions for small source voltages. We also give a rigorous evidence that solutions of the model converge towards solutions of the associated small aspect ratio equation in the vanishing aspect ratio limit. Comment: 17 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1407.3662 Zobrazit plný text záznamu View this record from Arxiv