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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 $2n times 2n$ nonlinear system which arises in chromatography. The global existence of solutions $(u^{tau}_{i},v^{tau}_{i})$ in $ L^{infty}$ space for a Cauchy problem with initial data is obtained for any fixed $tau > 0$, and the convergence of $(u^{tau}_{i},v^{tau}_{i})$ to its equilibrium state $(u_{i},v_{i})$, governed by a limit system is proved for the case $n=2$ by using the compensated compactness coupled with the framework of Tzavaras (1999).

Keywords:Multicomponent chromatography   relaxation limit   compensated compactness
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