Modeling and analytic problems for a generalized Boltzmann equation for a multicomponent reacting gas

This paper deals with the derivation and analysis of a class of averaged Boltzmann type equations for multicomponent gases with binary chemical reactions. The paper is devoted to the modeling of the above class of equations. The main result concerns the existence and uniqueness of global (in time) general solutions to the initial value problem in the whole space. Properties of the equilibrium solutions are also examined and a H-theorem is formulated. Finally, the analysis includes critical considerations towards research perspectives. (C) 2002 Elsevier Science Ltd. All rights reserved.