MATHEMATICAL MODELS OF CHEMICALLY REACTING GASES

Abstract

Modeling and analysis of models of complex chemical reactions constitute wide branches of research in chemistry, physics and mathematics. Here a model is proposed which is amenable to rigorous mathematical study, which makes clear the dynamics of the systems described by such a model. In particular, only combinations of chemical reactions which preserve the number of particles, and which have equal forward and backward reaction rates are allowed. Reactions which do not satisfy such requirements can be considered, provided they are suitably modified. Also, it is required that the densities of the chemicals in the reactions be low, so that the applicability of the theory is restricted to mixtures of gases.