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

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DOI: 10.4236/am.2014.513184    2,229 Downloads   2,763 Views

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.

 

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Durmagambetov, A. and Fazilova, L. (2014) Global 1 Estimation of the Cauchy Problem Solutions to the Navier-Stokes Equation. Applied Mathematics, 5, 1903-1912. doi: 10.4236/am.2014.513184.

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