Rigorous derivation of a binaryternary Boltzmann equation for a hardsphere gas
Rigorous derivation of a binaryternary Boltzmann equation for a hardsphere gas

Ioakeim Ampatzoglou, New York University
Zoom link: https://princeton.zoom.us/j/4745473988
In this talk, we will focus on the rigorous derivation of a binaryternary Boltzmann equation describing the kinetic properties of a dense hardspheres gas, where particles undergo either binary or ternary instantaneous interactions, while preserving momentum and energy. An important challenge in deriving this equation is related to providing a mathematical framework allowing to detect both binary and ternary interactions. To achieve that, we introduced new algebraic and geometric techniques in order to eventually decouple binary and ternary interactions and understand the way they could succeed one another in time.