Communications in Mathematical Sciences

Volume 5 (2007)

Number 1

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

Pages: 67 – 84

DOI: http://dx.doi.org/10.4310/CMS.2007.v5.n1.a3

Authors

C. Bourdarias

M. Gisclon

S. Junca

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.

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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