Author(s)

Asset A. Durmagambetov, Leyla S. Fazilova

System Research “Factor” Company, Astana, Kazakhstan.

In this work, we present final solving Millennium Prize Problems formulated by Clay Math. Inst., Cambridge. A new uniform time estimation of the Cauchy problem solution for the Navier-Stokes equations is provided. We also describe the loss of smoothness of classical solutions for the Navier-Stokes equations.

Schrödinger’s Equation, Potential, Scattering Amplitude, Cauchy Problem, Navier-Stokes Equations, Fourier Transform, The Global Solvability and Uniqueness of the Cauchy Problem, The Loss of Smoothness, The Millennium Prize Problems

Durmagambetov, A. and Fazilova, L. (2015) Navier-Stokes Equations—Millennium Prize Problems. Natural Science, 7, 88-99. doi: 10.4236/ns.2015.72010.