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arXiv · 1509.08766

The Navier-Stokes Existence and Smoothness Poser in $\mathbb{R}^n$

R. K. Michael Thambynayagam
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Abstract

In this paper we describe a method to derive solutions of the incompressible Navier- Stokes system of equations for non-stationary initial value problems in $\mathbb{R}^n$. We show that for a given smooth solenoidal initial velocity vector field there exist smooth spatially periodic solutions of pressure and velocity in $\mathbb{R}^n$. An illustrative example in $\mathbb{R}^3$ provides important insights into the ostensible phenomenon of the blowup time.

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R. K. Michael Thambynayagam. 2015-09-25. The Navier-Stokes Existence and Smoothness Poser in $\mathbb{R}^n$. https://arxiv.org/abs/1509.08766

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