Acta Mathematica Scientia

, Volume 39, Issue 1, pp 57–82 | Cite as

Global Solutions of the Perturbed Riemann Problem for the Chromatography Equations

  • Ting Zhang (张婷)
  • Wancheng Sheng (盛万成)Email author


The Riemann problem for the chromatography equations in a conservative form is considered. The global solution is obtained under the assumptions that the initial data are taken to be three piecewise constant states. The wave interaction problems are discussed in detail during the process of constructing global solutions to the perturbed Riemann problem. In addition, it can be observed that the Riemann solutions are stable under small perturbations of the Riemann initial data.

Key words

Riemann problem chromatography equation wave interactions Temple class hyperbolic conservation laws 

2010 MR Subject Classification

35L65 35L45 


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The frist author would like to express her gratitude to all those who helped her during the writing of this thesis.


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Copyright information

© Wuhan Institutes of Physics and Mathematics, Chinese Academy of Sciences 2019

Authors and Affiliations

  • Ting Zhang (张婷)
    • 1
  • Wancheng Sheng (盛万成)
    • 1
    Email author
  1. 1.Department of Mathematics, College of ScienceShanghai UniversityShanghaiChina

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