Equivalent formulations for the branched transport and urban planning problems and applications

Jeudi 9 juin 2016 15:45-16:45 - Alessio Brancolini - Universität Münster

Résumé : The urban planning and the branched transport are two variational problems which describe a way to transport an initial to a final mass with a preference for networks that collect and transport lots of mass together rather than transporting all mass particles independently.
The strength of this preference determines the ramification patterns and the degree of complexity of optimal networks. Traditionally, the models are formulated in very different ways, via cost functionals of the network in case of urban planning or via cost
functionals of irrigation patterns or of mass fluxes in case of branched transport.
We show here that actually both models can be described by all three types of formulations ; in particular, the urban planning can be cast into a Eulerian (flux-based) or a Lagrangian (pattern-based) framework.

Lieu : Bât 425, salle 113-115

Equivalent formulations for the branched transport and urban planning problems and applications  Version PDF