BLOW UP AT THE HYPERBOLIC BOUNDARY FOR A 2 x 2 SYSTEM ARISING FROM CHEMICAL ENGINEERING

We consider an initial boundary value problem for a 2 x 2 system of conservation laws modeling heatless adsorption of a gaseous mixture with two species and instantaneous exchange kinetics, close to the system of chromatography. In this model the velocity is not constant because the sorption effect...

Full description

Saved in:
Bibliographic Details
Published in:Journal of hyperbolic differential equations 2010-06, Vol.7 (2), p.297-316
Main Authors: Bourdarias, C, Gisclon, M, Junca, S
Format: Article
Language:English
Subjects:
Adsorption
Boundaries
Boundary value problems
Chemical engineering
Chromatography
Conservation laws
Construction
Eigenvalues
Exchanging
Hyperbolic systems
Mathematical analysis
Mathematical models
Sorption
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider an initial boundary value problem for a 2 x 2 system of conservation laws modeling heatless adsorption of a gaseous mixture with two species and instantaneous exchange kinetics, close to the system of chromatography. In this model the velocity is not constant because the sorption effect is taken into account. Exchanging the roles of the x, t variables we obtain a strictly hyperbolic system with a zero eigenvalue. Our aim is to construct a solution with a velocity which blows up at the corresponding characteristic 'hyperbolic boundary' {t = 0}.
ISSN:0219-8916
DOI:10.1142/S0219891610002116