Journals Information
Universal Journal of Applied Mathematics Vol. 2(3), pp. 136 - 140
DOI: 10.13189/ujam.2014.020303
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Navier –Stokes Second Exact Transformation
Alexandr Kozachok *
Kiev, Ukraine
ABSTRACT
In this article second Navier – Stokes (NSE) exact transformation to the simpler equations is covered. This transformation is executed by classical methods of Mathematical Analysis. It is shown that 3-D NSE can be conversed to a traditional vector form which looks like 2-D Vorticity Transport Equations. Second result, as well as first one, is very important for the solution of Navier–Stokes existence and smoothness one of seven Millennium Prize Problems that were stated by the Clay Mathematics Institute. The proof of solution’ existence of such equations is simpler than traditional NSE. New equations will simplify the solutions of many other problems of Applied Mathematics in engineering, aeronautics, etc.
KEYWORDS
Incompressible Fluid, Navier – Stokes Equations, Vorticity Transport Equations, Vector –Valued Function, Acceleration Vector, Chain Rule, Pseudovector, Antisymmetric Tensor, Millennium Prize Problems
Cite This Paper in IEEE or APA Citation Styles
(a). IEEE Format:
[1] Alexandr Kozachok , "Navier –Stokes Second Exact Transformation," Universal Journal of Applied Mathematics, Vol. 2, No. 3, pp. 136 - 140, 2014. DOI: 10.13189/ujam.2014.020303.
(b). APA Format:
Alexandr Kozachok (2014). Navier –Stokes Second Exact Transformation. Universal Journal of Applied Mathematics, 2(3), 136 - 140. DOI: 10.13189/ujam.2014.020303.