{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T12:55:50Z","timestamp":1762952150284,"version":"3.45.0"},"reference-count":0,"publisher":"European Mathematical Society - EMS - Publishing House GmbH","issue":"3","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Interfaces Free Bound."],"published-print":{"date-parts":[[2023,8,22]]},"abstract":"<jats:p>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\u2013Wasserstein space of probability measures. We prove global existence of generalized solutions to this problem.<\/jats:p>","DOI":"10.4171\/ifb\/492","type":"journal-article","created":{"date-parts":[[2023,8,22]],"date-time":"2023-08-22T17:45:25Z","timestamp":1692726325000},"page":"343-372","source":"Crossref","is-referenced-by-count":0,"title":["Overdamped dynamics of a falling inextensible network: Existence of solutions"],"prefix":"10.4171","volume":"25","author":[{"given":"Ayk","family":"Telciyan","sequence":"first","affiliation":[{"name":"University of Coimbra, Portugal"}]},{"given":"Dmitry","family":"Vorotnikov","sequence":"additional","affiliation":[{"name":"University of Coimbra, Portugal"}]}],"member":"2673","container-title":["Interfaces and Free Boundaries, Mathematical Analysis, Computation and Applications"],"original-title":[],"deposited":{"date-parts":[[2025,11,12]],"date-time":"2025-11-12T12:51:53Z","timestamp":1762951913000},"score":1,"resource":{"primary":{"URL":"https:\/\/ems.press\/doi\/10.4171\/ifb\/492"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,8,22]]},"references-count":0,"journal-issue":{"issue":"3"},"URL":"https:\/\/doi.org\/10.4171\/ifb\/492","relation":{},"ISSN":["1463-9963","1463-9971"],"issn-type":[{"type":"print","value":"1463-9963"},{"type":"electronic","value":"1463-9971"}],"subject":[],"published":{"date-parts":[[2023,8,22]]}}}