Overdamped Dynamics of a Falling Inextensible Network: Existence of Solutions

Autor:	Telciyan, Ayk, Vorotnikov, Dmitry
Rok vydání:	2022
Předmět:	Mathematics - Analysis of PDEs 35K65 35R35 35A01 35R02 58R99
Druh dokumentu:	Working Paper
Popis:	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 PDE 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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2201.05547 Zobrazit plný text záznamu View this record from Arxiv