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Global Solutions of the Perturbed Riemann Problem for the Chromatography Equations

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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… Click to show full abstract

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.

Keywords: problem chromatography; problem; chromatography equations; riemann problem; global solutions; solutions perturbed

Journal Title: Acta Mathematica Scientia
Year Published: 2019

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