## Navier-Stokes Three Dimensional Equations General Periodic Solutions for a given Periodic Initial Velocity Vector Field for Incompressible Fluid with Positive Viscosity

**Authors:** Biruk Alemayehu Petros

The existence of smooth periodic solutions for Navier-Stokes three dimensional equations for a given periodic initial velocity vector field with positive viscosity is proved. The equation is solved by considering Fourier series representation of periodic initial velocity vector fields and predicting the velocity vector field at all times. The solution discovered here can also be used as counter example for clay mathematics millennium prize problem.

**Comments:** 6 Pages. millenium prize problem counter example

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### Submission history

[v1] 2018-08-22 06:01:54

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