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Abstract and Applied Analysis
Volume 2013 (2013), Article ID 893465, 10 pages
http://dx.doi.org/10.1155/2013/893465
Research Article

Viscous Regularization of Delta Shock Wave Solution for a Simplified Chromatography System

School of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, China

Received 7 July 2013; Revised 31 August 2013; Accepted 3 September 2013

Academic Editor: Vladimir Danilov

Copyright © 2013 Xiumei Li and Chun Shen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The delta shock wave for a simplified chromatography system is obtained in the Riemann solution when . In fact, the result in this paper is the reasonable generalization of the result in Sun (2011) with which is exactly the critical situation for . The self-similar viscosity vanishing approach is also used to check the delta shock wave solution.