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Durmagambetov, A.A. and Fazilova, L.S. (2013) Global Estimation of the Cauchy Problem Solutions’ Fourier Transform Derivatives for the Navier-Stokes Equation. International Journal of Modern Nonlinear Theory and Application, 2, 232-234.
http://www.scirp.org/journal/IJMNTA/

has been cited by the following article:

• 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.