About the uniqueness of the solutions for one dissipative equation system of hydrodynamic type

Basing on formal generalisation of quasi gas dynamic equations a new variant of hydrodynamic system for incompressible viscous flows is proposed. It is shown that some exact classical solutions of Navier–Stokes equations satisfy to the proposed equation system. Dissipative character of the system is established and the analysis of the uniqueness conditions for the classical solution of the initial-boundary problem under consideration is done.