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Russell, J.S. (1844) Report on Wave. Report of the Fourteenth Meeting of the British Association for the Advancement of Science, York, Plates XLVII-LVII, 90-311.

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• 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.