Relaxation limit for hyperbolic systems in chromatography
Authors:
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
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).