Special Session 17: Nonlinear models in kinetic theory, collective behavior, and fluid dynamics

Moment estimates and global well-posedness for the binary-ternary Boltzmann equation

Ioakeim Ampatzoglou
New York University
USA
Co-Author(s):    Irene M. Gamba, Natasa Pavlovic, Maja Taskovic
Abstract:
We will discuss the generation and propagation of polynomial and exponential moments, as well as the global well-posedness of the homogeneous binary-ternary Boltzmann equation. We will indicate that the co-existence of binary and ternary collisions yields better generation properties and time asymptotics, than when only binary or ternary collisions are considered. To address these questions, we develop for the first time angular averaging estimates for ternary interactions.