TITLE:
Navier-Stokes Equations—Millennium Prize Problems
AUTHORS:
Asset A. Durmagambetov, Leyla S. Fazilova
KEYWORDS:
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
JOURNAL NAME:
Natural Science,
Vol.7 No.2,
February
27,
2015
ABSTRACT: 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.