Existence and Smoothness of Solution of Navier-Stokes Equation on R^{3}

Ognjen Vukovic^{*}

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References

[1] Oliver, M. and Titi, E.S. (2000) Remark on the Rate of Decay of Higher Order Derivatives for Solutions to the Navier-Stokes Equations in Rn. Journal of Functional Analysis, 172, 1-18.

http://dx.doi.org/10.1006/jfan.1999.3550

[2] Okabe, T. (2009) Asymptotic Energy Concentration in the Phase Space of the Weak Solutions to the Navier-Stokes Equations. Journal of Differential Equations, 246, 895-908.

http://dx.doi.org/10.1016/j.jde.2008.07.037

[3] Tao, T. (2006) Perelman’s Proof of the Poincaré Conjecture: A Nonlinear PDE Perspective.

http://arxiv.org/abs/math/0610903

[4] Cannon, J.R. (1984) The One-Dimensional Heat Equation. Vol. 23. Cambridge University Press, Cambridge.

http://dx.doi.org/10.1017/CBO9781139086967