Riemann Problems and Wave Interactions for a Non-Symmetric Keyfitz–Kranzer System with a Source Term

In this paper, we study the Riemann problems and wave interactions for a non-symmetric Keyfitz Kranzer system with the sourceterm beta? with initial data. We show the existence of an intricate d -shock wave solution satisfying the generalized Rankine - Hugoniotconditions and d -shock wave entropy condition. In particular, a remarkable behavior for the solution may occur. For the time0 < t < boolean AND t, we show the existence of a d -shock wave. In addition, fort ? t, the d -shock wave disappears and the solution is constructedby contact discontinuities. The double Riemann problem for this system with three piecewise constant states is also considered, andits global solutions are constructed by analyzing the interactions between two different waves, including d -shock wave and contactdiscontinuity.Published under an exclusive license by AIP Publishing.