In the preprint the simple model of the flow of two-component, two-velocity medium, which flows under the action of small scale fluctuations, is formulated. It is shown that in the case under consideration the specific regimes emerge in the model. In such regimes so called non-classic shocks propagate in the medium. The evolution of such shocks is not described by Hugoniot relations. This type of shocks is studied from the analytic, including the introduction of small viscosity regularization, and numerical points of view.

two-component flows, Hugoniot relations, shock stability, non-classical shocks

Mathematical modelling in actual problems of science and technics