Communications in Mathematical Sciences
Volume 5 (2007)
Existence of Weak Entropy Solutions for Gas Chromatography Systen with One or Two Active Species and Non Convex Isotherms
Pages: 67 – 84
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.
Boundary conditions; systems of conservation laws; Godunov scheme; entropies; composite waves; Liu entropy-condition
2010 Mathematics Subject Classification
35L65, 35L67, 35Q35