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

Asset Durmagambetov, Leyla Fazilova

Department Applied Mathematics and Informatics, Buketov Karaganda State University, Karaganda, Kazakhstan.

DOI: 10.4236/am.2014.513184                

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.

 

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

Conflicts of Interest

The authors declare no conflicts of interest.

References

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