Soap Films as Minimal Surfaces: A Study on Soap Film’s Behaviour Statically and Dynamically

Understanding the behavior of liquids governed by surface tension can be crucial. This project aims to describe how a soap film (a soap bubble) shaped as a catenoid behaves, using mathematical and physical principles. Through a detailed study, three mathematical models and one conceptual model have been developed. The mathematical models describe the soap film in three stages: statically, dynamically, and its oscillations after a topological change. The conceptual model proposes how the soap film changes shape. These models were confirmed through a series of experiments. Using them, the energy holding the soap film together could be determined. The conceptual model provides insight into how topological changes occur in fluids, contributing to both mathematics and physics.