Blow up for a 2x2 strictly hyperbolic system arising from chemical engineering

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

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

We consider a 2x2 hyperbolic system of conservation laws modeling heat less adsorption of a gaseous mixture with two species and infinite exchange kinetics, close to the system of Chromatography. In this model the velocity is not constant because the sorption effect is taken in account. Our aim is to construct a solution with a velocity which blows up at the characteristic boundary. This phenomenon only occurs in particular but physically relevant cases.

Mots clés: hyperbolic systems; conservation laws; weak solutions; Temple systems; blow up; boundary conditions; gas chromatography; Riemann problem; Front Tracking Algorithm

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

Christian Bourdarias, Marguerite Gisclon, Stéphane Junca. Blow up for a 2x2 strictly hyperbolic system arising from chemical engineering. 2009. ⟨hal-00403226v1⟩