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Article Dans Une Revue Communications in Mathematical Sciences Année : 2007

Existence of weak entropy solutions for gas chromatography system with one or two active species and non convex isotherms

Christian Bourdarias
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Marguerite Gisclon
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Stéphane Junca

Résumé

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.
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Dates et versions

hal-00387192 , version 1 (03-05-2016)

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Christian Bourdarias, Marguerite Gisclon, Stéphane Junca. Existence of weak entropy solutions for gas chromatography system with one or two active species and non convex isotherms. Communications in Mathematical Sciences, 2007, 5 (1), pp.67-84. ⟨10.4310/CMS.2007.v5.n1.a3⟩. ⟨hal-00387192⟩
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