2 papers
math.AP2024
Derivation of kinetic and diffusion equations from a hard-sphere Rayleigh gas using collision trees and semigroups
Karsten Matthies, Theodora Syntaka
We will revisit the classical questions of understanding the statistics of various deterministic dynamics of hard spheres of diameter with random initial data in…
math.AP2024
Fractional diffusion as the limit of a short range potential Rayleigh gas
Karsten Matthies, Theodora Syntaka
The fractional diffusion equation is rigorously derived as a scaling limit from a deterministic Rayleigh gas, where particles interact via short range potentials with support of si…