
Stability of optimal traffic plans in the irrigation problem
Colombo, M.; de Rosa, A.; Marchese, A.; Pegon, Paul; Prouff, A. (2022), Stability of optimal traffic plans in the irrigation problem, Discrete and Continuous Dynamical Systems, 42, 4, p. 1647-1667. 10.3934/dcds.2021167
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Type
Article accepté pour publication ou publiéDate
2022Journal name
Discrete and Continuous Dynamical SystemsVolume
42Number
4Publisher
AIMS - American Institute of Mathematical Sciences
Published in
Paris
Pages
1647-1667
Publication identifier
Metadata
Show full item recordAuthor(s)
Colombo, M.Ecole Polytechnique Fédérale de Lausanne [EPFL]
de Rosa, A.
Bocconi Institute for Data Science and Analytics [BIDSA]
Marchese, A.
Department of mathematics/Dipartimento di Matematica [Univ. Trento]
Pegon, Paul
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Prouff, A.
Ecole Normale Supérieure Paris-Saclay [ENS Paris Saclay]
Abstract (EN)
We prove the stability of optimal traffic plans in branched transport. In particular, we show that any limit of optimal traffic plans is optimal as well. This is the Lagrangian counterpart of the recent Eulerian version proved in [CDM19a].Subjects / Keywords
Transportation network; branched transpor; , irrigation problem; traffic plans; stabilityRelated items
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