The generalized Riemann problem and instability of delta shock to the chromatography equations (Q1990546)

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.