從劉維爾方程式推導波茲曼方程的關鍵假設部分、輔助定理的描述以及對碰撞部分的一些估計。

The following content involves derivation of Boltzmann equation from Liouville's equation. It is assumed that readers own some basic concepts about gas in physical aspect. The main part is to illustrate the process with three critical assumptions, and to explain clearly in supplement to accomplish the derivation.

1.Derivation from Liouville's equation
2.Binary Collision
3.Supplement to the derivation
4.Some encountered difficulties

1.Stewart Harris
An introduction to the theory of the Boltzmann equation

2.Cercignani, Carlo
The Boltzmann equation and its applications

3.Saint-Raymond, Laure
Hydrodynamic limits of the Boltzmann equation

4.World Scientific, 1995
Lecture notes on the mathematical theory of the Boltzmann equation

5.Cercignani, Carlo
The relativistic Boltzmann equation: theory and applications