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https://hdl.handle.net/10316/114262
Title: | Overdamped dynamics of a falling inextensible network: Existence of solutions | Authors: | Telciyan, Ayk Vorotnikov, Dmitry |
Issue Date: | 2023 | Publisher: | European Mathematical Society Publishing House | Project: | CMUC-UID/MAT/00324/2020 PD/BD/150352/2019 |
Serial title, monograph or event: | Interfaces and Free Boundaries | Volume: | 25 | Issue: | 3 | Abstract: | We study the equations of overdamped motion of an inextensible triod with three fixed ends and a free junction under the action of gravity. The problem can be expressed as a system of PDEs that involves unknown Lagrange multipliers and non-standard boundary conditions related to the freely moving junction. It can also be formally interpreted as a gradient flow of the potential energy on a certain submanifold of the Otto–Wasserstein space of probability measures. We prove global existence of generalized solutions to this problem. | URI: | https://hdl.handle.net/10316/114262 | ISSN: | 1463-9963 1463-9971 |
DOI: | 10.4171/ifb/492 | Rights: | openAccess |
Appears in Collections: | I&D CMUC - Artigos em Revistas Internacionais FCTUC Matemática - Artigos em Revistas Internacionais |
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