1307.7632 (R. K. Michael Thambynayagam)

Classical analytic solutions of the non-stationary Navier-Stokes
equation in two, three and higher dimensions    [PDF]

R. K. Michael Thambynayagam

In this paper we present a method to derive classical solutions of the Navier-Stokes equations for non-stationary initial value problems in domain $\mathbb{R}^n$ ($n=2,3$ or higher). Exact solutions in $\mathbb{R}^2$ and $\mathbb{R}^3$ in the presence of an externally specified force are obtained by imposing certain restrictions on the initial data.

View original: http://arxiv.org/abs/1307.7632