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Journal Articles Discrete and Continuous Dynamical Systems - Series A Year : 2022

Stability of optimal traffic plans in the irrigation problem

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 [Colombo, De Rosa, Marchese ; 2021], extending it to the Lagrangian framework.
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Dates and versions

hal-02519237 , version 1 (25-03-2020)
hal-02519237 , version 2 (06-01-2022)

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Maria Colombo, Antonio de Rosa, Andrea Marchese, Paul Pegon, Antoine Prouff. Stability of optimal traffic plans in the irrigation problem. Discrete and Continuous Dynamical Systems - Series A, In press, ⟨10.3934/dcds.2021167⟩. ⟨hal-02519237v2⟩
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