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.
Publié le : 2007-03-14
Classification:
Boundary conditions,
systems of conservation laws,
Godunov scheme,
entropies,
composite waves,
Liu entropy-condition,
35L65,
35L67,
35Q35
@article{1175797622,
author = {Bourdarias, C. and Gisclon, M. and Junca, S.},
title = {Existence of Weak Entropy Solutions for Gas Chromatography Systen with One or Two Active Species and Non Convex Isotherms},
journal = {Commun. Math. Sci.},
volume = {5},
number = {1},
year = {2007},
pages = { 67-84},
language = {en},
url = {http://dml.mathdoc.fr/item/1175797622}
}
Bourdarias, C.; Gisclon, M.; Junca, S. Existence of Weak Entropy Solutions for Gas Chromatography Systen with One or Two Active Species and Non Convex Isotherms. Commun. Math. Sci., Tome 5 (2007) no. 1, pp. 67-84. http://gdmltest.u-ga.fr/item/1175797622/