A Dacorogna-Moser approach to flow decomposition and minimal flow problems
Optimization and Control
2013-10-11 v1 Classical Analysis and ODEs
Abstract
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.
Keywords
Cite
@article{arxiv.1310.2738,
title = {A Dacorogna-Moser approach to flow decomposition and minimal flow problems},
author = {Filippo Santambrogio},
journal= {arXiv preprint arXiv:1310.2738},
year = {2013}
}
Comments
submitted to the proceedings of the SMAI conference 2013