Interaction of elementary waves on a boundary for a hyperbolic system of conservation laws

In this paper, we study the interaction of elementary waves including delta-shock waves on a boundary for a hyperbolic system of conservation laws. A boundary entropy condition is derived, thanks to the results of Dubois and Le Floch (J. Differ. Equations 1988; 71:93-122) by taking a suitable entropy-flux pair. We obtain the solutions of the initial-boundary value problem for the system constructively, in which initial-boundary data are piecewise constant states.