Professor Dr. Benedikt Wirth
Donnerstag, 17. Januar 2019
Raum 2004 (L1)
über das Thema:
|A small number of models for transportation networks (modelling street, river, or vessel networks, for instance) has been studied intensely during the past decade, in particular the so-called branched transport and the so-called urban planning. They assign to each network the total cost for transporting material from a given initial to a prescribed final distribution and seek the cost-optimal network. Typically, the considered transportation cost per mass is smaller the more mass is transported together, which leads to highly patterned and ramified optimal networks. We present a joint framework for a broad class of transportation network models (including existing models) based on the geometric measure notion of flat 1-chains, which more easily allows to prove equivalence of various existing model formulations. In addition, based on this setting we present multiple phasefield approximations, some of which had been developed in the literature as phenomenological models without awareness of the connection to branched transport.|
|Hierzu ergeht herzliche Einladung.|
|Prof. Dr. Bernd Schmidt|
Kaffee, Tee und Gebäck eine halbe Stunde vor Vortragsbeginn im Raum 2006 (L1).