The BGK equation as the limit of an $N$ particle system

Abstract

The spatially homogeneous BGK equation is obtained as the limit if a model of a many particle system, similar to Mark Kac's charicature of the spatially homogeneous Boltzmann equation.

arXiv commentMinor corrections and modifications only. This version is essentially the same as the published paper

References in corpus (5)

• Cauchy problem for the Boltzmann-BGK model near a global Maxwellian
• The Kac Model Coupled to a Thermostat
• Uniform Approximation of a Maxwellian Thermostat by Finite Reservoirs
• Partially Thermostated Kac Model
• Particle approximation of the BGK equation

Cited by in corpus (2)

• Particle approximation of the BGK equation
• A stochastic particle system approximating the BGK equation