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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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https://hal.archives-ouvertes.fr/hal-02519237
Contributor : Paul Pegon Connect in order to contact the contributor
Submitted on : Thursday, January 6, 2022 - 8:30:39 PM
Last modification on : Friday, February 4, 2022 - 3:10:44 AM

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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, American Institute of Mathematical Sciences, In press, ⟨10.3934/dcds.2021167⟩. ⟨hal-02519237v2⟩

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