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arXiv · 1305.7407

Finite time singularity in a free boundary problem modeling MEMS

Joachim Escher·Philippe Laurencot·Christoph Walker
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Abstract

The occurrence of a finite time singularity is shown for a free boundary problem modeling microelectromechanical systems (MEMS) when the applied voltage exceeds some value. The model involves a singular nonlocal reaction term and a nonlinear curvature term accounting for large deformations.

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Joachim Escher, Philippe Laurencot, Christoph Walker. 2013-05-31. Finite time singularity in a free boundary problem modeling MEMS. https://doi.org/10.1016/j.crma.2013.10.004

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