两粒子Boltzmann方程组的解的存在唯一性

Existence and Uniqueness of the Two-Particles Boltzmann Hierarchy

在这篇文章,我们用矩方法,证明了两粒子Boltzmann方程组的解的一个存在唯一性定理,并讨论了其渐近性质。

In this present paper, in a gas of Maxwellian molecules, under the condition independent of place, we derive a general system of differential equations for moment of the distribution functions from the two-partcles Boltzmann hierarchy. Then, the proof of existence and uniqueness are given for this system. Meanwhile, we also examine the asymptotic behavior of sotutions and obtain the condition in which the solutions tend to equilibrium.