Mathematical Physics

    

Vorticity Quantity Conservation Law in a Viscous Incompressible Fluid

Authors: Preobrazhenskiy Andrey

The paper gives the definition of the "vorticity quantity" concept. It is further shown that the system of generalized Helmholtz equations for a viscous incompressible fluid is a mathematical expression of the vorticity quantity conservation law for each of its components. These results are used to analyze the solutions of the Euler and Navier-Stokes equations. The physical mechanism of a blowup scenario for the 3D Euler equations solutions is described. The impossibility of such a scenario for the 3D Navier-Stokes equations solutions is shown.

Comments: 19 Pages.

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Submission history

[v1] 2020-05-07 10:58:20
[v2] 2020-05-28 02:49:05

Unique-IP document downloads: 201 times

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