The Perturbed Riemann Problem for the Chromatography System of Langmuir Isotherm with one Inert Component


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


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