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. |
|