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

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

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 a...

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Main Authors: Xiumei Li, Chun Shen
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/893465
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spelling doaj-37d936675ed649fe950e49d40fcc2a0e2020-11-24T22:52:44ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/893465893465Viscous Regularization of Delta Shock Wave Solution for a Simplified Chromatography SystemXiumei Li0Chun Shen1School of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, ChinaSchool of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, ChinaThe 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.http://dx.doi.org/10.1155/2013/893465
collection DOAJ
language English
format Article
sources DOAJ
author Xiumei Li
Chun Shen
spellingShingle Xiumei Li
Chun Shen
Viscous Regularization of Delta Shock Wave Solution for a Simplified Chromatography System
Abstract and Applied Analysis
author_facet Xiumei Li
Chun Shen
author_sort Xiumei Li
title Viscous Regularization of Delta Shock Wave Solution for a Simplified Chromatography System
title_short Viscous Regularization of Delta Shock Wave Solution for a Simplified Chromatography System
title_full Viscous Regularization of Delta Shock Wave Solution for a Simplified Chromatography System
title_fullStr Viscous Regularization of Delta Shock Wave Solution for a Simplified Chromatography System
title_full_unstemmed Viscous Regularization of Delta Shock Wave Solution for a Simplified Chromatography System
title_sort viscous regularization of delta shock wave solution for a simplified chromatography system
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description 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.
url http://dx.doi.org/10.1155/2013/893465
work_keys_str_mv AT xiumeili viscousregularizationofdeltashockwavesolutionforasimplifiedchromatographysystem
AT chunshen viscousregularizationofdeltashockwavesolutionforasimplifiedchromatographysystem
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