21 citations · 45 across the 14 of their papers we have counts for
3 papers · 2 filters
The geometry of diffusing and self-attracting particles in a one-dimensional fair-competition regime
Vincent Calvez, Jose Antonio Carrillo, Franca Hoffmann
We consider an aggregation-diffusion equation modelling particle interaction with non-linear diffusion and non-local attractive interaction using a homogeneous kernel (singular and…
Equilibria of homogeneous functionals in the fair-competition regime
Vincent Calvez, Jose Antonio Carrillo, Franca Hoffmann
We consider macroscopic descriptions of particles where repulsion is modelled by non-linear power-law diffusion and attraction by a homogeneous singular/smooth kernel leading to va…
Exponential decay to equilibrium for a fibre lay-down process on a moving conveyor belt
Emeric Bouin, Franca Hoffmann, Clément Mouhot
We show existence and uniqueness of a stationary state for a kinetic Fokker-Planck equation modelling the fibre lay-down process in the production of non-woven textiles. Following…