Universal Journal of Applied Mathematics Vol. 3(2), pp. 24 - 28
DOI: 10.13189/ujam.2015.030203
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True Navier–Stokes Vector PDE

Alexandr Kozachok *
Independent Researcher, Kiev, Ukraine


The additional equalities (additional differential equations) for the Navier – Stokes and other vector PDE are established in this paper. These equations are obligatory requirements (properties) of three functions forming a vector field on Euclidean space. Therefore all solutions of the vector PDE should satisfy these requirements. Without these equalities the Navier–Stokes equations with so called a continuity equation are underdetermined as vector system and any “exact solution” is not solution of the true Navier – Stokes vector equation.

Vector Field, Vector Lines Equations, Vector Functions, Vector Equations, Functions Forming Vector Field, Incompressible Fluid, Navier – Stokes Equations, Acceleration Divergence, Partial Derivatives, Composite Function

Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Alexandr Kozachok , "True Navier–Stokes Vector PDE," Universal Journal of Applied Mathematics, Vol. 3, No. 2, pp. 24 - 28, 2015. DOI: 10.13189/ujam.2015.030203.

(b). APA Format:
Alexandr Kozachok , (2015). True Navier–Stokes Vector PDE. Universal Journal of Applied Mathematics, 3(2), 24 - 28. DOI: 10.13189/ujam.2015.030203.