Stability of optimal traffic plans in the irrigation problem

DOI10.3934/DCDS.2021167zbMath1486.49063arXiv2003.11793OpenAlexW3013839524MaRDI QIDQ2078348

Maria Colombo, Andrea Marchese, Paul Pegon, Antoine Prouff, Antonio De Rosa

Publication date: 28 February 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.11793

zbMATH Keywords

stabilitybranched transporttransportation networktraffic plansirrigation problem

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06) Variational problems in a geometric measure-theoretic setting (49Q20) Optimization of shapes other than minimal surfaces (49Q10)

Related Items (2)

Generic uniqueness of optimal transportation networks ⋮ Energy minimizing maps with prescribed singularities and Gilbert-Steiner optimal networks

Cites Work

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• Fractal regularity results on optimal irrigation patterns
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• Elementary properties of optimal irrigation patterns
• A variational model of irrigation patterns
• Improved stability of optimal traffic paths
• Stability for the mailing problem
• On the lower semicontinuous envelope of functionals defined on polyhedral chains
• Traffic plans
• Synchronic and Asynchronic Descriptions of Irrigation Problems
• A dacorogna-moser approach to flow decomposition and minimal flow problems
• 11. On the Lagrangian branched transport model and the equivalence with its Eulerian formulation
• OPTIMAL PATHS RELATED TO TRANSPORT PROBLEMS
• On the <scp>Well‐Posedness</scp> of Branched Transportation

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