Special Session 99: 

Global well-posedness of a binary-ternary Boltzmann equation

Maja Taskovic
Emory University
USA
Co-Author(s):    Ioakeim Ampatzoglou, Irene M. Gamba, Natasa Pavlovic
Abstract:
We study a binary-ternary Boltzmann equation in the cut-off case, which takes into account both binary and ternary interactions of particles, and we show global well-posedness for small initial data. The main tool is a modified Kaniel-Shinbrot iteration, originally developed for the (binary) Boltzmann equation, that approximates the solution of the nonlinear equation by monotone sequences of solutions to appropriate linear problems.