Reflection and refraction of shocks on an interface with a reflected rarefaction wave

When a shock interacts with an interface, which is a contact discontinuity in two-dimensional gas flows, there may appear a reflected rarefaction wave, a deflected contact discontinuity and a refracted supersonic shock. We show the local existence of this flow pattern near the intersection point and its stability with respect to the perturbation satisfying certain compatibility conditions of the states on both sides of the interface as well as the incident shock.