Volume 22, Issue 1, December 2014, Pages 76 - 101
The Asymptotic Behaviors of Solutions to the Perturbed Riemann Problem near the Singular Curve for the Chromatography System*
Authors
Chun Shen
School of Mathematics and Statistics Science, Ludong University Yantai, Shandong Province, 264025, P.R.China.shenchun3641@sina.com
*
This work is supported by National Natural Science Foundation of China (11441002,11271176).
Received 1 June 2014, Accepted 29 September 2014, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2015.996442How to use a DOI?
- Keywords
- Chromatography system; zero wave; delta shock wave; wave interaction; Riemann problem
- Abstract
The Riemann problem for a simplified chromatography system is considered and the global Riemann solutions are constructed in all kinds of situations. In particular, the zero rarefaction wave, the zero shock wave and the zero delta shock wave are discovered in the Riemann solutions in some limit situations, which have infinite propagation speeds. Furthermore, these zero waves are analyzed by introducing the so-called double Riemann problem with three pieces of constant states. More precisely, we take the approximations of zero waves and investigate wave interactions in details before the limits are taken.
- Copyright
- © 2015 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Chun Shen PY - 2021 DA - 2021/01/06 TI - The Asymptotic Behaviors of Solutions to the Perturbed Riemann Problem near the Singular Curve for the Chromatography System* JO - Journal of Nonlinear Mathematical Physics SP - 76 EP - 101 VL - 22 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2015.996442 DO - 10.1080/14029251.2015.996442 ID - Shen2021 ER -