文摘
In this article, we study the global solution of the elementary waves interaction problem for the nonlinear chromatography equations. We constructively obtain the solutions when the initial data are three piecewise constant states. The global structures and large time-asymptotic behaviors of the solutions are analyzed case by case. During the process of the interaction, it is easy to see that the solutions of the perturbed Riemann problem converge to nothing but the corresponding Riemann solutions as \(\epsilon \rightarrow 0\), from which the stability of the Riemann solutions with respect to this local small perturbation of the Riemann initial data are obtained. Keywords Elementary waves Interaction Linear degenerate Chromatography equations Riemann problem