Аннотация:The Navier-Stokes equations, which describe flows of fluids and gases,
possess hidden properties that are discovered when studying the consistency
of the conservation law equations involved into the set of Navier-
Stokes equations. Under such an investigation one obtains a nonidentical
evolutionary relation for entropy as a state functional. This relation
discloses peculiarities of the solutions to the Navier-Stokes equations
due to which the Navier-Stokes equations can describe not only the
change of physical quantities (such as energy, pressure, density) but
also processes such as origination of waves, turbulent pulsations.
From the evolutionary relation it follows that the Navier-Stokes
equations possess solutions of two types, namely, the solution that is
not a function and the solution that is a discrete function. The solutions
of the first type are defined on nonintegrable manifold (like a
tangent one) and describe the non-equilibrium state of a flow. And
the solutions of the second type are defined on integrable structure and
describe the locally equilibrium state of a flow. The transition from
the solutions of the first type to ones of the second type describes the
process of origination of turbulence.