Studying of the relations on the flat strong discontinuity for the polymeric liquid

We are studying the flat strong discontinuity within the rheological modified Vinogradov–Pokrovskii model. The relation on the discontinuity are introduced. We justify the existence of steady-state solutions with discontinuity both with constant direction of the flow across the discontinuity and with changing direction (rotating discontinuity). The examples of numerical solutions are introduced in the paper.