ON DISCRETE MODELS OF THE KINETIC BOLTZMANN EQUATION

197198 citationsJournal Article

Authors

С. К. Годунов · N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

U. M. Sultangazin · N.N. Krasovskii Institute of Mathematics and Mechanics of the Ural Branch of the Russian Academy of Sciences

Abstract

In this paper we discuss on simple models the connection between the kinetic equations and the equations of gas dynamics. We analyze the energy integrals of the gas dynamical model and elucidate their connections with Boltzmann's H-theorem.

Topics & Keywords

Gas Dynamics and Kinetic Theory Numerical methods in inverse problems Navier-Stokes equation solutions

UN Sustainable Development Goals

Affordable and clean energy

Publication Details

Published in: Russian Mathematical Surveys

Volume 26, Issue 3, pp. 1-56

DOI: 10.1070/rm1971v026n03abeh003822

Field-Weighted Citation Impact: 1.02