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Variational models for transportation networks: old and new formulations

Presented by: 
Benedikt Wirth Westfalische Wilhelms-Universitat Munster
Date: 
Tuesday 11th June 2019 - 11:30 to 12:30
Venue: 
INI Seminar Room 1
Abstract: 
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. I will present novel formulations of these models which allow a better interpretation as an optimal design problem.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons