3 papers
math.AP2026
Quantitative stability of constant equilibria in a non-linear alignment model of self-propelled particles
Ãmeric Bouin, Amic Frouvelle
We are interested in the long-time behaviour of the kinetic Vicsek equation, rigorously derived as the mean-field limit~\cite{bolley2012meanfield} of a coupled system of~ stocha…
math.AP2025
Swarming by curvature control in arbitrary dimension
Pierre Degond, Antoine Diez, Amic Frouvelle
We consider an interacting particle system proposed in the literature to model fish behavior. In this model, the agents move at constant speed and control the curvature of their tr…
math.AP2024
On the Fisher infinitesimal model without variability
Amic Frouvelle, Cécile Taing
We study the long-time behavior of solutions to a model of sexual populations structured in phenotypes. The model features a nonlinear integral reproduction operator derived from t…