A Benamou-Brenier approach to branched transport
Lorenzo Brasco (CEREMADE), Giuseppe Buttazzo, Filippo Santambrogio, (CEREMADE)
TL;DR
This paper introduces a novel approach to branched transport problems using the Benamou-Brenier formulation, enabling a dynamic and continuous perspective on mass movement with concavity effects.
Contribution
It develops a new Benamou-Brenier based framework for branched transport, advancing the mathematical modeling of mass transportation with concave costs.
Findings
Provides a new variational formulation for branched transport
Demonstrates the effectiveness of the approach through theoretical analysis
Lays groundwork for numerical methods in branched transportation
Abstract
The problem of branched transportation aims to describe the movement of masses when, due to concavity effects, they have the interest to travel together as much as possible, because the cost for a path of length
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Taxonomy
TopicsMathematics and Applications · Geometric Analysis and Curvature Flows · Fluid dynamics and aerodynamics studies