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20132026
most citedRigorous derivation of nonlinear scalar conservation laws from follow-the-leader type models via many particle limit

93 citations · 104 across the 12 of their papers we have counts for

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math.AP2013★ 1 cited

Equivalence of gradient flows and entropy solutions for singular nonlocal interaction equations in 1D

Giovanni A. Bonaschi, José A. Carrillo, Marco Di Francesco +1

We prove the equivalence between the notion of Wasserstein gradient flow for a one-dimensional nonlocal transport PDE with attractive/repulsive Newtonian potential on one side, and…

math.AP2013

Condensation phenomena in nonlinear drift equations

Jose' A. Carrillo, Marco Di Francesco, Giuseppe Toscani

We study nonnegative, measure-valued solutions to nonlinear drift type equations modelling concentration phenomena related to Bose-Einstein particles. In one spatial dimension, we…