Abstract—In this work we prove existence and uniqueness of the solutions of initial and boundary value problem for one-dimensional Boltzmann’s moment system of equations with boundary conditions of Maxwell-Auzhan in space of functions continuous in time and summable in square by spatial variable.

Index Terms—Boltzmann equation, Boltzmann's moment system of equations, Maxwell-Auzhan boundary conditions.

The authors are with Satbayev University, Almaty, Kazakhstan (email: erkawww@gmail.com).

Cite: Auzhan Sakabekov, Yerkanat Auzhani, "Justification of Macroscopic Boundary Conditions for One-Dimensional Nonlinear Non-stationary Moment System of Equations of Boltzmann," International Journal of Applied Physics and Mathematics vol. 10, no. 1, pp. 8-15, 2020.

Copyright © 2020 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).