关于弱非线性、弱涨落的Boltzmann方程链的经典解的存在性问题

EXISTENCE OF CLASSICAL SOLUTION OF THE BOLTZMANN HIERARCHY FOR WEAK NONLINEARITY AND WEAK FLUCTUATIONS

本文按照Grad^([6])指出的方法具体地证明了弱非线性、弱涨落的Boltzmann方程链的经典解的存在性.

An existence and uniqueness theorem for the classical solution to the Boltzmann hierarchy with weak nonlinearity and weak fluctuations is proved by using conventional Boltzmann equation theory in the direction pointed out by H.Grad^([6]).