Stationary Soap Film Bridge Formed by a Small Electrostatic Force
Analysis of PDEs
2024-09-30 v1 Dynamical Systems
Abstract
We consider two models, a free boundary problem and a simplification thereof, which describe a soap film bridge subjected to an electrostatic force. For both models, we construct stationary solutions if the force is small, analyse their stability and examine how their shape is influenced by small changes in the strength of the force.
Keywords
Cite
@article{arxiv.2409.18608,
title = {Stationary Soap Film Bridge Formed by a Small Electrostatic Force},
author = {Lina Sophie Schmitz},
journal= {arXiv preprint arXiv:2409.18608},
year = {2024}
}