Existence of Weak Entropy Solutions for Gas Chromatography Systen with One or Two Active Species and Non Convex Isotherms

Abstract

This paper deals with a system of two equations which describes heatless adsorption of a gaseous mixture with two species. Using the hyperbolicity property of the system with respect to the $(x, t)$ variables, that is with $x$ as the evolution variable, we find all the entropy-flux pairs. Making use of a Godunov-type scheme we obtain an existence result of a weak entropy solution satisfying some BV regularity.