Some Effects of Viscous Terms on Riemann Problem Solutions

This paper concerns 2 2 systems of conservation laws with quadratic uxes corresponding to Case II in the classiication of such problems. Aided by a computer program , we have constructed the solution that satisses the viscous proole criterion for shock admissibility. Our solution diiers from that obtained using the Lax admissibility criterion, even though solutions exist and are unique for both criteria. With the viscous proole criterion , some nonlocal Lax shock waves are inadmissible; in their place, transitional waves appear in the wave patterns.