两粒子Boltzmann方程系的平衡解

The Equilibrium Solution for Two-Particle Boltzmann Hierarchy

在这篇文章,我们考虑分布函数可展成Laguerre函数的两粒子Boltzmann方程系.我们首先对于Maxwell分子,利用解矩方程组的方法,求得了两粒子Boltzmann方程系的平衡解.结果表明,我们得到的平衡解对非Maxwell分子模型也有效,同时我们证明了分布函数可展成La-suerre函数的两粒子Boltzmann方程系的平衡解只有实的或复的平均Maxwell分布.

For the two-partical Boltzmann hierarchy,we consider only such distribution functions which can be expanded in Laguerre function series.By solving the moment equations system,an equilibrium solution for two-partical Boltzmann hierarchy is obtained.It is also shown that this equilibrium solution is valid for gen- eral molecular interaction.