3 papers
math.AP2026
A stiff limit of non-homogeneous conservation laws for crowd motion modeling
Nicolas Masson, Benoît Perthame, Filippo Santambrogio
We propose a new approach for crowd motion models where the density constraint can only slow down the motion of each agent, with no effect on those agents who are not in a saturate…
math.AP2025
A Li-Yau and Aronson-Bénilan approach for the Keller-Segel system with critical exponent
Charles Elbar, Alejandro Fernández-Jiménez, Filippo Santambrogio
We prove Li-Yau and Aronson-Bénilan type estimates for the parabolic-elliptic Keller-Segel system with critical exponent , i.e. lower bounds on the Laplacian of a su…
math.AP2025
A cross-diffusion system with independent drifts and fast diffusion
Charles Elbar, Filippo Santambrogio
We study a one-dimensional cross-diffusion system for two interacting populations on the torus, with a fast-diffusion law with exponent and different external potentia…