Geodesic
A dacorogna-moser approach to flow decomposition and minimal flow problems
Filippo Santambrogio1
1 Laboratoire de Mathématiques d’Orsay, Université Paris-Sud, 91405 Orsay cedex, FRANCE,
ESAIM. Proceedings, Tome 45 (2014), pp. 265-274.

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The papers describes an easy approach, based on a classical construction by Dacorogna and Moser, to prove that optimal vector fields in some minimal flow problem linked to optimal transport models (congested traffic, branched transport, Beckmann’s problem...) are induced by a probability measure on the space of paths. This gives a new, easier, proof of a classical result by Smirnov, and allows handling optimal flows without taking care of the presence of cycles.
DOI : 10.1051/proc/201445027

Filippo Santambrogio 1

1 Laboratoire de Mathématiques d’Orsay, Université Paris-Sud, 91405 Orsay cedex, FRANCE, 
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Filippo Santambrogio. A dacorogna-moser approach to flow decomposition and minimal flow problems. ESAIM. Proceedings, Tome 45 (2014), pp. 265-274. doi : 10.1051/proc/201445027. http://geodesic.mathdoc.fr/articles/10.1051/proc/201445027/

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