3 papers
math.AP2025
Propagation of chaos for the homogeneous Boltzmann equation with moderately soft potentials
Nicolas Fournier, Stéphane Mischler
We show that the Kac particle system converges, as the number of particles tends to infinity, to the solution of the homogeneous Boltzmann equation, in the regime of moderately sof…
math.PR2025
Fractional diffusion in convex domains and reflected isotropic stable processes
Loïc Béthencourt, Nicolas Fournier
We establish the fractional diffusion limit of the kinetic scattering equation with diffusive boundary condition in a strongly convex bounded domain $\mathcal{D}\subset\mathbb{R}^d…
math.AP2025
On gelation for the Smoluchowski equation
Nicolas Fournier
Motivated by the recent results of Andreis-Iyer-Magnanini (2023), we provide a short proof, revisiting the one of Escobedo-Mischler-Perthame (2002), that for a large class of coagu…