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Global Estimation of the Cauchy Problem Solutions’ Fourier Transform Derivatives for the Navier-Stokes Equation

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DOI: 10.4236/ijmnta.2013.24033    2,556 Downloads   4,485 Views   Citations

ABSTRACT

The uniform estimation of the derivatives of Fourier transforms of the Cauchy problem for the Navier-Stokes equations was obtained.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

A. Durmagambetov and L. Fazylova, "Global Estimation of the Cauchy Problem Solutions’ Fourier Transform Derivatives for the Navier-Stokes Equation," International Journal of Modern Nonlinear Theory and Application, Vol. 2 No. 4, 2013, pp. 232-234. doi: 10.4236/ijmnta.2013.24033.

References

[1] O. A. Ladyzhenskaya, “Mathematic Problems of Viscous Incondensable Liquid Dynamics,” M.: Science, 1970, p. 288
[2] V. A. Solonnikov, “Estimates Solving Nonstationary Linearized Systems of Navier-Stokes’ Equations,” Transactions Academy of Sciences USSR, Vol. 70, 1964. pp. 213-317.

  
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