Finite time singularity in a free boundary problem modeling MEMS
arXiv:1305.7407 · doi:10.1016/j.crma.2013.10.004
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.