Journal article
The generalized Riemann problem for chromatography equations with delta shock wave
Acta Mathematica Scientia. Series A. Shuxue Wuli Xuebao. Chinese Edition, Vol.39(6), pp.1300-1313
2019
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.
Details
- Title: Subtitle
- The generalized Riemann problem for chromatography equations with delta shock wave
- Creators
- Li Jun PanXin Li HanTong Li
- Resource Type
- Journal article
- Publication Details
- Acta Mathematica Scientia. Series A. Shuxue Wuli Xuebao. Chinese Edition, Vol.39(6), pp.1300-1313
- ISSN
- 1003-3998
- Date published
- 2019
- Academic Unit
- Mathematics
- Record Identifier
- 9984242735102771
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