International Journal of Cosmology, Astronomy and Astrophysics

ISSN: 2641-886X

Mini Review Article

Navier-Stokes Equation: A Solution

Paul T E Cusack*

BScE, DULE, 23 Park Ave, Saint John, NB E2J 1R2, Canada

*Corresponding author: Paul T E Cusack, BScE, DULE, 23 Park Ave, Saint John, NB E2J 1R2, Canada, Tel: +1-506-652-6350, E-mail:

Received: November 28, 2018 Accepted: December 13, 2018 Published: January 7, 2019

Citation: Cusack PTE. Navier-Stokes Equation: A Solution. Int J Cosmol Astron Astrophys. 2019; 1(1): 7-8. doi: 10.18689/ijcaa-1000103

Copyright: © 2019 The Author(s). This work is licensed under a Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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An expert of the Navier-Stokes Equation requested one solution or example, of a solution to the Navier Stokes Equation. Using Astrotheology variables published in many paper by this author, we provide a solution to Navier-Stokes.

Keywords: Navier-Stokes; Astrothoelogy; Reynoldʼs Number; Youngʼs modulus


In this brief paper, we provide a solution to the Navier -Stokes Equation [1-3]. The answer to the variables lie in AT Math (Astrotheology, Cusackʼs Universe) shown in (Figure 1).

ρ(∂v/∂t +v ·∇v)=∇P+∇T +F
v=a=sin 45°=cos 45°=1/√2
P=S.F/ Area
S.F. =8/3=2.667
θ=Reynoldʼs Number=0.402 rads=23.03 degrees
T=Youngʼs modulus =(π-e)=0.4233=cuz
127.3(1/√2 +1/√2 ×1/√2 cos(0.402) )= 8/3/(π(1)2) + ∇(0.4233)+0
127.3(116.72)=-0.8489 + ∇ (0.4233) cos (0.402)
23.373=0.4233 (0.9202) ∇
∇= (∂/∂x + ∂/∂y+ ∂/dz)
∂/∂x =∂/∂y=∂/dz
∇=1/0.167=1/γ (monatomic gas)
3 (∂/∂x)=1/(1/6)
∂/∂x= 2= dM/dt
(2+x)3= x3+6x2+12 x +8=0
x= 1/2 i(√3+5i)
Let i=-.0618
Ln x=0.868=sin 1
Ln x =Ln 1/ Ln 2.368=Ln 1-Ln 23.68
eLn x=e-Ln 23.68
x=e-sin 1
=1/esin 1
=e-1/M Where M=118 Number of elements in the Periodic Table.
So (2+1) = 3=Eigen Value, speed of light
(2+x)= 2+13.03=15.03= Mass Gap=1/G


This is the solution to the Navier Stokes Equation.



Conflict of interest

The author declares that there is no conflict of interest.


  1. Cusack P. Astro-Theology, Cusacks Universe. J. Phys. Math. 2016; 7(2): 8.   
  2. Steward I. In Pursuit of the Unknown. NY 2012.   
  3. Cusack P. The Universal Vector. Ope Acc J. Math Theo Phys.2018; 1(5): 186-190. doi: 10.15406/oajmtp.2018.01.00032