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.