3 papers
math.AP2026
Optimal decay rates for linear kinetic equations in the half-space
Ãmeric Bouin, Stéphane Mischler, Clément Mouhot
We prove that solutions to linear kinetic equations in a half-space with absorbing boundary conditions decay for large times like in a weighted $\sfL…
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
Sub-exponential tails in biased run and tumble equations with unbounded velocities
Ãmeric Bouin, Josephine Evans, Luca Ziviani
Run and tumble equations are widely used models for bacterial chemotaxis. In this paper, we are interested in the long time behaviour of run and tumble equations with unbounded vel…