One-dimensional nonlinear chromatography system and delta-shock waves

Abstract

The Riemann problem for the nonlinear chromatography system is considered. Existence and admissibility of δ-shock type solution in both variables are established for this system. By the interactions of δ-shock wave with elementary waves, the generalized Riemann problem for this system is presented, the global solutions are constructed, and the large time-asymptotic behavior of the solutions are analyzed. Moreover, by studying the limits of the solutions as perturbed parameter e{open} tends to zero, one can observe that the Riemann solutions are stable for such perturbations of the initial data. © 2013 The Author(s).