Approximation of the boundary value problem for 3-dimensional Boltzmann’s equation with Maxwell’s microscopic conditions

Abstract

The aim of the research is to formulate the boundary conditions for the moment system equations. We put boundary conditions for arbitrary approximation of the three-dimensional nonlinear nonstationary Boltzmann’s moment system equations. We approximate microscopic Maxwell boundary condition for three-dimensional Boltzmann’s equation. We formulate initial and boundary value problem for twenty-moment system equations with Maxwell-Auzhan boundary conditions.