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math.AP2025
Mean field control with absorption
Pierre Cardaliaguet, Joe Jackson, Panagiotis E. Souganidis
In this paper we study a mean field control problem in which particles are absorbed when they reach the boundary of a smooth domain. The value of the N-particle problem is describe…
math.AP2024
A note on contractive semi-groups on a 1:1 junction for scalar conservation laws and Hamilton-Jacobi equations
P Cardaliaguet
We show that any continuous semi-group on which is (i) contractive, (ii) satisfies the conservation law in $\mathbb{R}_+\times (\mat…
math.AP2024
A microscopic derivation of a traffic flow model on a junction with two entry lines
P Cardaliaguet
We derive a conservation law on a network made of two incoming branches and a single outgoing one from a discrete traffic flow model. The continuous model is obtained from the disc…