3 papers
math.AP2025
On the existence of solutions to the multi-species Landau equation
Jonathan Junné, Raphael Winter, Havva YoldaÅ
We consider the spatially homogeneous Landau equation for multiple species with different masses. As in the single-species case, the singularity of the collision operator is determ…
math-ph2025
Improved geometric and recollision estimates for the invariance principle of the random Lorentz gas
Karsten Matthies, Raphael Winter
By improving geometric recollision estimates for a random Lorentz gas, we extend the timescale of the invariance principle for a Lorentz gas with particle size obtained…
math.AP2024
A blow-down mechanism for the Landau-Coulomb equation
Maria Pia Gualdani, Raphael Winter
We investigate the Landau-Coulomb equation and show an explicit blow-down mechanism for a family of initial data that are small-scale, supercritical perturbations of a Maxwellian f…