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Interactions of delta shock waves for the chromatography equations. (English) Zbl 1264.35142
Summary: This paper is devoted to the interactions of the delta shock waves with the shock waves and the rarefaction waves for the simplified chromatography equations. The global structures of solutions are constructed completely if the delta shock waves are included, when as initial data are taken three constants, and then the stability of the Riemann solutions is also analyzed with vanishing middle region. In particular, the strength of delta shock wave is expressed explicitly, and the delta contact discontinuity is discovered during the process of wave interaction.
MSC:
35L67Shocks and singularities
76L05Shock waves; blast waves (fluid mechanics)