On the Boltzmann system for a mixture of reacting gases
Abstract
Exact analytical solutions to the nonlinear spatially homogeneous integropartiaS differential Boltzmann system, governing the distribution functions of the rarefied gases of a given mixture in the presence of scattering, removal and chemical reaction effects, are derived upon the hypothesis of constant collision frequencies, BGKtype scattering and creation laws, and particles possessing only translational energy. Four classes of secondorder chemical reactions are investigated together with the relevant continuity system for the number densities of the participating species.
 Publication:

Zeitschrift Angewandte Mathematik und Physik
 Pub Date:
 March 1990
 DOI:
 10.1007/BF00945111
 Bibcode:
 1990ZaMP...41..254B
 Keywords:

 Boltzmann Distribution;
 Chemical Reactions;
 Gas Mixtures;
 Kinetic Equations;
 Rarefied Gas Dynamics;
 Distribution Functions;
 Maxwell Equation;
 Particle Collisions;
 Thermodynamics and Statistical Physics;
 Distribution Function;
 Mathematical Method;
 Collision Frequency;
 Continuity System;
 Exact Analytical Solution