Finite time singularity in a free boundary problem modeling MEMS
Analysis of PDEs
2014-02-03 v1
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.
Cite
@article{arxiv.1305.7407,
title = {Finite time singularity in a free boundary problem modeling MEMS},
author = {Joachim Escher and Philippe Laurencot and Christoph Walker},
journal= {arXiv preprint arXiv:1305.7407},
year = {2014}
}