Mathematical Physics


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

Download: PDF

Submission history

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

Unique-IP document downloads: 61 times is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

Add your own feedback and questions here:
You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful.

comments powered by Disqus