Formation and Transition of Delta Shock in the Limits of Riemann Solutions to the Perturbed Chromatography Equations

摘要

This paper is concerned with the formation and transition of delta shock solutions to the perturbed chromatography equations.We discuss the Riemann problem for the perturbed chromatography equations.By studying the limits of the Riemann solutions as the perturbation parameter tends to zero,we can observe two important phenomena.One is that a shock and a contact discontinuity coincide to form a delta shock.The second is that the transition from one kind of delta shock on which two state variables simultaneously contain the Dirac delta function,to another kind of delta shock on which only one state variable contains the Dirac delta function.