Open AccessStability of optimal traffic plans in the irrigation problem
Author(s) -
Maria Colombo,
Antonio Rosa,
Andrea Marchese,
Paul Pegon,
Antoine Prouff
Publication year - 2022
Publication title -
discrete and continuous dynamical systems
Language(s) - English
Resource type - Journals
eISSN - 1553-5231
pISSN - 1078-0947
DOI - 10.3934/dcds.2021167
Subject(s) - stability (learning theory) , limit (mathematics) , lagrangian , eulerian path , mathematics , computer science , mathematical optimization , speed limit , control theory (sociology) , mathematical analysis , engineering , artificial intelligence , transport engineering , control (management) , machine learning
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 result goes beyond the Eulerian stability proved in [ 7 ], extending it to the Lagrangian framework.