3 papers
math.AP2026
Weighted bounds for kinetic Fokker-Planck equations and hypocoercivity
Émeric Bouin, Jean Dolbeault, Luca Ziviani
We study the long-time behaviour of solutions to kinetic Fokker-Planck equations with power law confinement potentials and local equilibria with fat tails. Without relying on \emph…
math.AP2025
Convergence to a non-explicit steady state in non-factorized kinetic Fokker-Planck equations with (very) weak velocity confinements
Emeric Bouin, Luca Ziviani
In this article, we prove some convergence results for kinetic Fokker-Planck equations with strong space confinement but fat-tailed local equilibria and non-explicit global steady…
math.AP2025
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…