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

Stability of optimal traffic plans in the irrigation problem / Colombo, Maria; De Rosa, Antonio; Marchese, Andrea; Pegon, Paul; Prouff, Antoine. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 2022, 42:4(2022), pp. 1647-1667. [10.3934/dcds.2021167]

Stability of optimal traffic plans in the irrigation problem

Marchese, Andrea;
2022-01-01

Abstract

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
2022
4
Colombo, Maria; De Rosa, Antonio; Marchese, Andrea; Pegon, Paul; Prouff, Antoine
Stability of optimal traffic plans in the irrigation problem / Colombo, Maria; De Rosa, Antonio; Marchese, Andrea; Pegon, Paul; Prouff, Antoine. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - 2022, 42:4(2022), pp. 1647-1667. [10.3934/dcds.2021167]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/322442
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