A new model for electrostatic MEMS with two free boundaries
Analysis of PDEs
2014-07-15 v1
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.
Cite
@article{arxiv.1407.3662,
title = {A new model for electrostatic MEMS with two free boundaries},
author = {Martin Kohlmann},
journal= {arXiv preprint arXiv:1407.3662},
year = {2014}
}
Comments
17 pages