Relaxation limit for hyperbolic systems in chromatography

Author:
Yun-Guang Lu

Journal:
Proc. Amer. Math. Soc. **130** (2002), 3579-3583

MSC (2000):
Primary 35L65, 35B40

DOI:
https://doi.org/10.1090/S0002-9939-02-06667-4

Published electronically:
June 18, 2002

MathSciNet review:
1920037

Full-text PDF

Abstract | References | Similar Articles | Additional Information

Abstract: This paper is concerned with a nonlinear system which arises in chromatography. The global existence of solutions in space for a Cauchy problem with initial data is obtained for any fixed , and the convergence of to its equilibrium state , governed by a limit system is proved for the case by using the compensated compactness coupled with the framework of Tzavaras (1999).

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Additional Information

**Yun-Guang Lu**

Affiliation:
Departamento de Matemáticas y Estadística, Universidad Nacional de Colombia, Bogotá, Colombia – and – Department of Mathematics, University of Science and Technology of China, Hefei, People’s Republic of China

Email:
yglu@matematicas.unal.edu.co

DOI:
https://doi.org/10.1090/S0002-9939-02-06667-4

Keywords:
Multicomponent chromatography,
relaxation limit,
compensated compactness

Received by editor(s):
March 24, 2001

Published electronically:
June 18, 2002

Communicated by:
David S. Tartakoff

Article copyright:
© Copyright 2002
American Mathematical Society