Isn't This New Relativistic Formulation of NS-Equations, Solution of Navier-Stokes Existence and smoothness problem?

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Estakhr Material-Geodesic Equation is a new type of geodesic equation, with new and relevant degrees of freedom, that describes the behavior of a fluid for large times, this new approach to solving the equations that would let us understand what are really key properties of a turbulent fluid.

Isn't this equation solution of Navier-Stokes Existence and Smoothness problem?