Stationary Soap Film Bridge Formed by a Small Electrostatic Force

2024/09/27 by Lina Sophie Schmitz, Schmitz, Lina Sophie
Engineering · Materials Science · #Advanced Surface Polishing Techniques #Analysis of PDEs (math.AP) #Copper Interconnects and Reliability #Dynamical Systems (math.DS) #FOS: Mathematics #Metal and Thin Film Mechanics

paper · pdf · doi:10.48550/arxiv.2409.18608

openalex publication_date 2024/09/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

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