doi: 10.17706/ijapm.2020.10.1.8-15
Justification of Macroscopic Boundary Conditions for One-Dimensional Nonlinear Non-stationary Moment System of Equations of Boltzmann
- Satbayev University, Almaty, Kazakhstan
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.
Keywords
- Boltzmann equation
- Boltzmann's moment system of equations
- Maxwell-Auzhan boundary conditions
How to Cite
Auzhan Sakabekov and 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. https://doi.org/ 10.17706/ijapm.2020.10.1.8-15
Copyright & License
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).