Optimal transport and irrigation

Abstract : This thesis models irrigation structures such as leaves venation, blood veins, lungs, etc. A model generalizing Gilbert-Steiner problem is given. We then study existence properties, stability and regularity. Algorithms are then given for simulation.
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Submitted on : Tuesday, February 20, 2007 - 11:10:49 AM
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  • HAL Id : tel-00132078, version 1

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Marc Bernot. Optimal transport and irrigation. Mathematics [math]. École normale supérieure de Cachan - ENS Cachan, 2005. English. ⟨tel-00132078⟩

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