Variational models for transportation networks: old and new formulations
Duration: 1 hour 4 mins
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| Description: |
Wirth, B
Tuesday 11th June 2019 - 11:30 to 12:30 |
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| Created: | 2019-06-12 08:41 |
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| Collection: | New trends and challenges in the mathematics of optimal design |
| Publisher: | Isaac Newton Institute |
| Copyright: | Wirth, B |
| Language: | eng (English) |
| 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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