The Interaction of an Infinite Number of Eddy Flows for the Hard Spheres Model

In the paper, the explicit approximate solutions of the Boltzmann equation for the hard spheres model are obtained. They have the form of function series of Maxwellians with coefficient functions of a spatial coordinate and time. Sufficient conditions for minimizing the uniform-integral error between the parts of the Boltzmann equation for the constructed distribution are obtained.

Automated summary

The paper presents explicit approximate solutions of the Boltzmann equation for the hard spheres model in the form of function series of Maxwellians with coefficient functions of a spatial coordinate and time. It also establishes sufficient conditions for minimizing the uniform-integral error between the parts of the Boltzmann equation for the constructed distribution.