Stochastic particle approximations for generalized Boltzmann models and convergence estimates
Stochastic particle approximations for generalized Boltzmann models and convergence estimates
We specify the Markov process corresponding to a generalized mollified Boltzmann equation with general motion between collisions and nonlinear bounded jump (collision) operator, and give the nonlinear martingale problem it solves. We consider various linear interacting particle systems in order to approximate this nonlinear process. We prove propagation of chaos, …