In this presentation we are concerned with the Riemann (shock-tube) problem related to two-phase flow models that contain non-conservative products. More specifically, we describe a numerical algorithm for the exact solution of this problem and we elaborate on issues related to the well-posedness of this problem
Deledicque, V., & Papalexandris, M. (2006). On the Riemann Problem of Non-Conservative Two-Phase Flow Models. 11th International Conference on Numerical Combustion, Granada, Spain. https://hdl.handle.net/2078.5/193861