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math.AP2023
Well posedness for systems of self-propelled particles
Marc Briant, Nicolas Meunier
This paper deals with the existence and uniqueness of solutions to kinetic equations describing alignment of self-propelled particles. The particularity of these models is that the…
math.AP2023
Concentration in an advection-diffusion model with diffusion coefficient depending on the past trajectory
Cosmin Burtea, Nicolas Meunier, Clément Mouhot
We consider a drift-diffusion model, with an unknown function depending on the spatial variable and an additional structural variable, the amount of ingested lipid. The diffusion c…