The Perturbed Riemann Problem for the Chromatography System of Langmuir Isotherm with one Inert Component
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Authors
Pengpeng Ji
- School of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, P. R. China.
Chun Shen
- School of Mathematics and Statistics Science, Ludong University, Yantai, Shandong 264025, P. R. China.
Abstract
The solutions of the perturbed Riemann problem for the chromatography system of Langmuir isotherm
with one inert component are constructed in completely explicit forms when the initial data are taken as
three piecewise constant states. The wave interaction problem is investigated in detail by using the method of
characteristics. In addition, the generalized Riemann problem with the delta-type initial data is considered
and the delta contact discontinuity is discovered. Moreover, the strength of delta contact discontinuity
decreases linearly at a constant rate and then the delta contact discontinuity degenerates to be the contact
discontinuity when across the critical point.
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ISRP Style
Pengpeng Ji, Chun Shen, The Perturbed Riemann Problem for the Chromatography System of Langmuir Isotherm with one Inert Component, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 9, 5382--5397
AMA Style
Ji Pengpeng, Shen Chun, The Perturbed Riemann Problem for the Chromatography System of Langmuir Isotherm with one Inert Component. J. Nonlinear Sci. Appl. (2016); 9(9):5382--5397
Chicago/Turabian Style
Ji, Pengpeng, Shen, Chun. "The Perturbed Riemann Problem for the Chromatography System of Langmuir Isotherm with one Inert Component." Journal of Nonlinear Sciences and Applications, 9, no. 9 (2016): 5382--5397
Keywords
- Chromatography system
- Riemann problem
- wave interaction
- Temple class
- hyperbolic conservation law.
MSC
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