The generalized Riemann problem and instability of delta shock to the chromatography equations (Q1990546)
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scientific article; zbMATH DE number 6965664
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The generalized Riemann problem and instability of delta shock to the chromatography equations |
scientific article; zbMATH DE number 6965664 |
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The generalized Riemann problem and instability of delta shock to the chromatography equations (English)
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25 October 2018
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This paper deals with the local existence and uniqueness of the solutions for the generalized Riemann problem for the nonlinear chromatography equations in a neighborhood of the origin in the $(x,t)$ plane. It is found that in the presence of a delta shock wave, the Riemann solution, the solution may turn into a combination of a shock wave and a contact discontinuity, showing thereby an instability along with the internal mechanisms of the delta shock wave.
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instability
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entropy condition
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local existence and uniqueness
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