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math.AP2025
Constrained hydrodynamic flocking models in the limit of large attraction-repulsion interactions
Thierry Goudon, Antoine Mellet
We study the collective dynamics of a population of particles/organisms subject to self-consistent attraction-repulsion interactions and an external velocity field. The starting po…
math.AP2025
Fitting parameters of a Fokker-Planck-like equation with constraint
Kevin Atsou, Thierry Goudon, Pierre-Emmanuel Jabin
We analyse a Fokker-Planck like equation, driven by a scalar parameter in order to reach an integral constraint. We exhibit criteria guaranteeing existence-uniqueness of a solution…