Some mathematical results on a system of transport equations with an algebraic constraint describing fixed-bed adsorption of gases

Christian Bourdarias (1) , Marguerite Gisclon (1) , Stéphane Junca (2)

1 LAMA - Laboratoire de Mathématiques
2 JAD - Laboratoire Jean Alexandre Dieudonné

This paper deals with a system of two equations which describes heat free adsorption of a gaseous mixture with two species. When one of the components is inert, we obtain an existence result of a weak solution satisfying some entropy condition under some simplifying assumptions. The proposed method makes use of a Godunov-type scheme. Uniqueness is proved in the class of piecewise $C^1$ functions.

Mots clés: Godunov scheme; Systems of conservation laws; Boundary conditions

Domaines: Equations aux dérivées partielles [math.AP]; Génie chimique; Analyse numérique [math.NA]

Christian Bourdarias, Marguerite Gisclon, Stéphane Junca. Some mathematical results on a system of transport equations with an algebraic constraint describing fixed-bed adsorption of gases. Journal of Mathematical Analysis and Applications, 2006, 313 (2), pp.551-571. ⟨10.1016/j.jmaa.2005.07.082⟩. ⟨hal-00387187⟩