Paul Pegon

activity

20122026

most citedOn the Lagrangian branched transport model and the equivalence with its Eulerian formulation

14 citations · 21 across the 10 of their papers we have counts for

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3 papers · 1 filter

math.AP2022

Mass concentration in rescaled first order integral functionals

Antonin Monteil, Paul Pegon

We consider first order local minimization problems of the form $min \int_{R^{N}} f (u, \nabla u)$ under a mass constraint $\int_{R^{N}} u = m$ . We prove that the minimal…

math.AP2020

Stability of optimal traffic plans in the irrigation problem

Maria Colombo, Antonio de Rosa, Andrea Marchese +2

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 is the Lagrangian cou…

math.AP2017

A kinetic selection principle for curl-free vector fields of unit norm

Pierre Bochard, Paul Pegon

This article is devoted to the generalization of results obtained in 2002 by Jabin, Otto and Perthame. In their article they proved that planar vector fields taking value into the…