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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2409.18608 |
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| _version_ | 1866917788452388864 |
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| author | Schmitz, Lina Sophie |
| author_facet | Schmitz, Lina Sophie |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_18608 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Stationary Soap Film Bridge Formed by a Small Electrostatic Force Schmitz, Lina Sophie Analysis of PDEs Dynamical Systems 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. |
| title | Stationary Soap Film Bridge Formed by a Small Electrostatic Force |
| topic | Analysis of PDEs Dynamical Systems |
| url | https://arxiv.org/abs/2409.18608 |