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Solonnikov, V.A. (1964) Estimates Solving Nonstationary Linearized Systems of Navier-Stokes’ Equations. Transactions Academy of Sciences USSR, 70, 213-317.

has been cited by the following article:

• TITLE: Global 1 Estimation of the Cauchy Problem Solutions to the Navier-Stokes Equation

  AUTHORS: Asset Durmagambetov, Leyla Fazilova

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

  JOURNAL NAME: Applied Mathematics, Vol.5 No.13, July 10, 2014

  ABSTRACT: The analytic properties of the scattering amplitude are discussed, and a representation of the potential is obtained using the scattering amplitude. A uniform time estimation of the Cauchy problem solution for the Navier-Stokes equations is provided. The paper also describes the time blowup of classical solutions for the Navier-Stokes equations by the smoothness assumption.