Stationary states to a free boundary transmission problem for an electrostatically actuated plate
Analysis of PDEs
2022-02-22 v1
Abstract
A two-dimensional free boundary transmission problem arising in the modeling of an electrostatically actuated plate is considered and a representation formula for the derivative of the associated electrostatic energy with respect to the deflection of the plate is derived. The latter paves the way for the construction of energy minimizers and also provides the Euler-Lagrange equation satisfied by these minimizers. A by-product is the monotonicity of the electrostatic energy with respect to the deflection.
Keywords
Cite
@article{arxiv.2202.10210,
title = {Stationary states to a free boundary transmission problem for an electrostatically actuated plate},
author = {Philippe Laurençot and Christoph Walker},
journal= {arXiv preprint arXiv:2202.10210},
year = {2022}
}