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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
Sharp exponent of acceleration in general nonlocal equations with a weak Allee effect
Emeric Bouin, Jérôme Coville, Guillaume Legendre
We study an acceleration phenomenon arising in monostable integro-differential equations with a weak Allee effect. Previous works have shown its occurrence and have given correct u…
math.AP2025
Travelling waves in non-local reaction-dispersion equations with diffuse levy measures
Emeric Bouin, Jérôme Coville
In this paper, we focus on the existence of propagation fronts, solutions to non-local dispersion reaction models. Our aim is to provide a unified proof of this existence in a very…