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arXiv · 1407.3662

A new model for electrostatic MEMS with two free boundaries

Martin Kohlmann
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Abstract

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.

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Martin Kohlmann. 2014-07-14. A new model for electrostatic MEMS with two free boundaries. https://doi.org/10.1016/j.jmaa.2013.06.012

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