Interaction of delta shock waves for the Chaplygin Euler equations of compressible fluid flow with split delta functions

We investigate the interaction of delta shock waves and contact discontinuities for the Chaplygin Euler equations of compressible fluid flow with split delta functions. The perturbed Riemann problem when initial data are three piece-wise constant states is constructively solved, and the global structure and large time-asymptotic behaviors of solutions are discussed case by case via deriving how the solution continues beyond points of interaction. It is shown that the Riemann solutions are stable for such small perturbations with initial data by letting perturbed parameter.. tend to zero. Moreover, some numerical simulations completely coinciding with the theoretical analysis are also exhibited.