BLOW UP AT THE HYPERBOLIC BOUNDARY FOR A 2 × 2 SYSTEM ARISING FROM CHEMICAL ENGINEERING-Reference-Cited by-同舟云学术

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

Published:2010-06 Issue:02 Volume:07 Page:297-316
ISSN:0219-8916
Container-title:Journal of Hyperbolic Differential Equations
language:en
Short-container-title:J. Hyper. Differential Equations

Author:

BOURDARIAS C.¹,GISCLON M.¹,JUNCA S.²

Affiliation:

1. LAMA, UMR CNRS 5127, Université de Savoie, 73376 Le Bourget-du-Lac, France

2. Laboratory JAD, UMR CNRS 6621, Université de Nice, Parc Valrose, 06108 Nice, France

Abstract

We consider an initial boundary value problem for a 2 × 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}.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics,Analysis

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219891610002116

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