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

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.

Keywords

Boundary conditions, systems of conservation laws, Godunov scheme, entropies, composite waves, Liu entropy-condition

2010 Mathematics Subject Classification

35L65, 35L67, 35Q35

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Published 1 January 2007