Boundary conditions for the one-dimensional nonlinear nonstationary Boltzmann’s moment system equations

DOI10.1063/1.4902936zbMath1315.35142OpenAlexW1977728510MaRDI QIDQ2939245

Auzhan Sakabekov, Yerkanat Auzhani

Publication date: 19 January 2015

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.4902936

zbMATH Keywords

Galerkin methodmoment methodBollzmann equationboundary conditions of Maxwell-Auzhan

Mathematics Subject Classification ID

Theoretical approximation in context of PDEs (35A35) Boltzmann equations (35Q20)

Related Items (5)

The solvability of mixed value problem for the first and second approximations of one-dimensional nonlinear system of moment equations with microscopic boundary conditions ⋮ Macroscopic boundary conditions on a solid surface in rarefied gas flow for a one-dimensional nonlinear nonstationary 12-moment system of Boltzmann equations ⋮ Approximation of the boundary value problem for 3-dimensional Boltzmann’s equation with Maxwell’s microscopic conditions ⋮ Investigation of aerodynamic characteristics of aircrafts in a rarefied gas flow using the moment method ⋮ Erratum: “Boundary conditions for the one-dimensional nonlinear nonstationary Boltzmann’s moment system equations” [J. Math. Phys. 55, 123507 (2014)]

Cites Work

• Moment closure hierarchies for kinetic theories.
• Polynomial expansions in kinetic theory of gases
• Kinetic equations with Maxwell boundary conditions
• INITIAL-BOUNDARY VALUE PROBLEMS FOR THE BOLTZMANN SYSTEM OF MOMENT EQUATIONS IN AN ARBITRARY APPROXIMATION
• On the kinetic theory of rarefied gases
• Unnamed Item
• Unnamed Item

This page was built for publication: Boundary conditions for the one-dimensional nonlinear nonstationary Boltzmann’s moment system equations