Self-similarly expanding networks to curve shortening flow

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dc.creatorSchnürer, Oliver C.
dc.creatorSchulze, Felix
dc.date2007-02-23
dc.date.accessioned2026-07-07T07:48:30Z
dc.date.available2026-07-07T07:48:30Z
dc.descriptionWe consider a network in the Euclidean plane that consists of three distinct half-lines with common start points. From that network as initial condition, there exists a network that consists of three curves that all start at one point, where they form 120 degree angles, and expands homothetically under curve shortening flow. We also prove uniqueness of these networks.
dc.description15 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/math/0702698
dc.identifierhttp://arxiv.org/abs/math/0702698
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/124521
dc.subjectDifferential Geometry
dc.subjectAnalysis of PDEs
dc.subject53C44 (Primary) 35Q51, 74K30, 74N20 (Secondary)
dc.titleSelf-similarly expanding networks to curve shortening flow
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