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arXiv:1407.3662 [math.AP]AbstractReferencesReviewsResources

A new model for electrostatic MEMS with two free boundaries

Martin Kohlmann

Published 2014-07-14Version 1

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.

Comments: 17 pages
Journal: J. Math. Anal. Appl. 408(2) 513-524 (2013)
Categories: math.AP
Subjects: 35R35, 35J57, 35B30, 74F15, 74M05
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