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arXiv · 1601.05950

Vanishing aspect ratio limit for a fourth-order mems model

Philippe Laurençot·Christoph Walker
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Abstract

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.

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Philippe Laurençot, Christoph Walker. 2016-01-22. Vanishing aspect ratio limit for a fourth-order mems model. https://arxiv.org/abs/1601.05950

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