4 papers
Quantitative stability of constant equilibria in a non-linear alignment model of self-propelled particles
Émeric 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…
Optimal decay rates for linear kinetic equations in the half-space
Émeric 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…
Sub-exponential tails in biased run and tumble equations with unbounded velocities
Émeric 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…
Quantitative fluid approximation in fractional regimes of transport equations with more invariants
Émeric Bouin, Laura Kanzler, Clément Mouhot
We present an extension of results in a previous paper by the first and the last author [PMP, 2022] about macroscopic limits of linear kinetic equations in (potentially) fractional…