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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2015
- DOI:
- 10.48550/arXiv.1511.00756
- arXiv:
- arXiv:1511.00756
- Bibcode:
- 2015arXiv151100756T
- Keywords:
-
- Mathematics - Analysis of PDEs;
- 35L65;
- 35L67;
- 34E15;
- 34C37
- E-Print:
- 27 pages