色谱方程的广义黎曼问题:含有Delta激波

Abstract

Abstract:

This paper is concerned with the generalized Riemann problem for the nonlinear chromatography equations, where the delta shock wave occurs in the corresponding Riemann solution. It is quite different from the previous generalized Riemann problems which focus on classical elementary waves. We constructively solve the generalized Riemann problem in a neighborhood of the origin on the x-t plane. In solutions, we find that the generalized Riemann solutions have a structure similar to the solution of the corresponding Riemann problem for most of cases. However, a delta shock wave in the corresponding Riemann solution may turn into a shock wave followed by a contact discontinuity, which provides us with a detailed method for analyzing the internal mechanism of a delta shock wave.

Key words: Chromatography equations, Riemann problem, Generalized Riemann problem, Entropy condition, Delta shock wave

CLC Number:

O175.27

Lijun Pan,Xinli Han,Tong Li. The Generalized Riemann Problem for Chromatography Equations with Delta Shock Wave[J].Acta mathematica scientia,Series A, 2019, 39(6): 1300-1313.

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References 21

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The Generalized Riemann Problem for Chromatography Equations with Delta Shock Wave

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