instituto de matemáticas universidad de sevilla
Antonio de Castro Brzezicki
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Optimization Problems in mass transport theory
Cursos
Actividad del Programa de Doctorado
Fecha: Del 21.05.2018 al 24.05.2018 De 10.00 a 12.00
Lugar: Seminario I (IMUS), Edificio Celestino Mutis
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The theory of optimal transport starts in 1781 by Gaspard Monge, who proposed a model to describe the best way to move a given mass density into a target configuration, with a minimal total cost. The Monge model is very flexible and suitable to generalizations that can be used in a very large variety of optimization problems. During the course ``Optimization problems in mass transport theory'' some of them will be presented. A possible schedule is the following; due to the lack of time, some of the topics will be only outlined.
 
·   Introduction to optimal transport theory.
·   Optimization problems in urban planning.
·   Location, irrigation, average distance problems.
·   Shape optimization problems via optimal transport.
·   Optimal Dirichlet regions for elliptic equations.
·   Sampling patterns for control problems.
·   Reducing congestion in transport areas.


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