56 citations · 121 across the 34 of their papers we have counts for
38 papers · 1 filter
Propagation rates in integro-differential equations of ignition type
Émeric Bouin, Jérôme Coville, Xi Zhang
This paper provides sharp rates of invasion in nonlinear integro-differential equations of ignition type. The framework covers both integrable convolution kernels and singular frac…
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…
Lyapunov estimates for non-factorised kinetic Fokker-Planck equations under weak spatial confinements
Émeric Bouin
In this paper, we construct weak Lyapunov functionals for kinetic Fokker-Planck equations with weak external confinements. This problem has remained widely open in the existing lit…
Nonlinear kinetic Fokker-Planck equations: existence and diffusion limits
Emeric Bouin, Jean Dolbeault, Antoine Mellet
In this paper, we focus on a new type of non-linear kinetic Fokker-Planck equation where the non-linearity comes from a non-linear diffusion in the velocity variable. The existence…
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…
Travelling waves in nonlocal reaction-dispersion equations with diffuse L{é}vy measures
Emeric Bouin, Jérôme Coville
In this paper, we focus on the existence of travelling fronts for nonlocal reaction-dispersion models. Our aim is to provide a unified existence proof in a very broad framework usi…