2 papers
math.AP2024
Derivation of the Higher Order Boltzmann Equation for Hard Spheres
Ioakeim Ampatzoglou, Nataša Pavlović, William Warner
In this paper we complete the program initiated by the first and second authors and rigorously derive a Boltzmann-type equation that incorporates higher order collisions among gas…
math.AP2022
Derivation of a Boltzmann equation with higher-order collisions from a generalized Kac model
Esteban Cárdenas, Nataša Pavlović, William Warner
In this work, we generalize M. Kac's original many-particle binary stochastic model to derive a space homogeneous Boltzmann equation that includes a linear combination of higher-or…