The Boltzmann equation is given by ( Eq 1 Chap. IX)
where is an external force and the function C() represents binary collisions.
Recently Gressman and Strain  have provided a proof of global existence and rapid decay to equilibrium of classical solutions to the Boltzmann equation.
- Sybren R. De Groot and Peter Mazur "Non-Equilibrium Thermodynamics", Dover Publications
- Philip T. Gressman and Robert M. Strain "Global classical solutions of the Boltzmann equation with long-range interactions", Proceedings of the National Academy of Sciences of the United States of America 107 pp. 5744-5749 (2010)
- Related reading