Vanishing aspect ratio limit for a fourth-order mems model
Analysis of PDEs
2016-01-25 v1
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.
Keywords
Cite
@article{arxiv.1601.05950,
title = {Vanishing aspect ratio limit for a fourth-order mems model},
author = {Philippe Laurençot and Christoph Walker},
journal= {arXiv preprint arXiv:1601.05950},
year = {2016}
}