Uniqueness of self-similar solutions to the network flow in a given topological class

Simple item page
dc.creatorTrumper, Mariel Sáez
dc.date2008-10-14
dc.date.accessioned2026-07-07T10:09:59Z
dc.date.available2026-07-07T10:09:59Z
dc.descriptionIn this paper we study the uniqueness of expanding self-similar solutions to the network flow in a fixed topological class. We prove the result via the parabolic Allen-Cahn approximation proved in \cite{triodginz}. Moreover, we prove that any regular evolution of connected tree-like network (with an initial condition that might be not regular) is unique in a given a topological class.
dc.description18 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0810.2514
dc.identifierhttp://arxiv.org/abs/0810.2514
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171491
dc.subjectAnalysis of PDEs
dc.subject35K65, 53C44
dc.titleUniqueness of self-similar solutions to the network flow in a given topological class
dc.typetext

Files

Collections

arXiv