Special Session 74: Local and Nonlocal Fully Nonlinear Partial Differential Equations of Elliptic and Parabolic Type

On a binary-ternary Boltzmann equation

Maja Taskovic
Emory University
USA
Co-Author(s):    Ioakeim Ampatzoglou, Irene M. Gamba, Natasa Pavlovic
Abstract:
This talk will focus on a kinetic equation that models the evolution of a gas in which particles undergo binary and ternary interactions. We will discuss global well-posedness of the binary-ternary Boltzmann equation, and the generation and propagation of polynomial and exponential moments. Moment estimates, in particular, show that the presence of both binary and ternary collisions yields better results compared to the equations modeling purely binary or purely ternary interactions.