# Boltzmann equation

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The **Boltzmann equation** is given by (^{[1]} Eq 1 Chap. IX)

where is an external force and the function C() represents binary collisions.

## Solution[edit]

Recently Gressman and Strain ^{[2]} have provided a proof of global existence and rapid decay to equilibrium of classical solutions to the Boltzmann equation.

## See also[edit]

## References[edit]

- ↑ 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