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Elastic flow of networks: long-time existence result

descriptionPublicationkeyboard_double_arrow_right Article , Other literature type 01 Jan 2019Publisher:PorticoJournal:Geometric Flows, volume 4, pages 83-136 (eissn: 2353-3382,

Authors: Chun Chi Lin; Anna Dall'Acqua; Paola Pozzi;

doi: 10.1515/geofl-2019-0005

Elastic flow of networks: long-time existence result

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Abstract

AbstractWe provide a long-time existence and sub-convergence result for the elastic flow of a three-network in ℝnunder some mild topological assumptions. The evolution is such that the sum of the elastic energies of the three curves plus their weighted lengths decrease in time. Natural boundary conditions are considered at the boundary of the curves and at the triple junction.

Related Organizations

University of Duisburg-Essen
Germany
University of Ulm
Germany
National Taiwan Normal University
Taiwan

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