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The solutions for a Riemann problem arising in chemical flooding models arestudied using vanishing viscosity as an admissibility criterion. We show thatwhen the flow function depends non-monotonically on the concentration ofchemicals, non-classical undercompressive shocks appear. The monotonicdependence of the shock velocity on the ratio of dissipative coefficients isproven. For that purpose we provide the classification of the phase portraitsfor the travelling wave dynamical systems and analyze the saddle-saddleconnections.

Impact of dissipation ratio on vanishing viscosity solutions of the Riemann problem for chemical flooding model