A stochastic particle numerical method for 3D Boltzmann equations without cutoff

Using the main ideas of Tanaka, the measure-solution {Pt}t of a 3-dimensional spatially homogeneous Boltzmann equation of Maxwellian molecules without cutoff is related to a Poisson-driven stochastic differential equation. Using this tool, the convergence to {Pt}t of solutions {P l t }t of approximating Boltzmann equations with cutoff is proved. Then, a result of Graham-M

• Type: Journal
• Year: 2002
• Where: MOC
• Authors: Nicolas Fournier, Sylvie Méléard
• Keywords: Boltzmann Equations, Homogeneous Boltzmann Equation, MOC 2002, Simulable Interacting Particle