Singular Shocks in a Chromatography Model

Abstract

We consider a system of two equations that can be used to describe nonlinear chromatography and produce a coherent explanation and description of the unbounded solutions (singular shocks) that appear in M. Mazzotti's model. We use the methods of Geometric Singular Perturbation Theory, to show existence of a viscous solution to Dafermos-DiPerna regularization.

27 pages

Cited by in corpus (3)

• An Analysis of a 2x2 Keyfitz-Kranzer Type Balance System with Varying Generalized Chaplygin Gas
• An Analysis of the Riemann Problem for a $2\times 2$ System of Keyfitz-Kranzer Type Balance Laws With a Time-Dependent Source Term
• An Analysis of the Riemann Problem for a $2\times 2$ System of Keyfitz-Kranzer Type Conservation Laws Using Shadow Waves and Dafermos Regularization