Mathematical Physics


About Non-Closedness of the Three-Dimensional Navier-Stokes Equations System for the Viscous Incompressible Fluid

Authors: Preobrazhenskiy Andrey

In this paper it is shown that the system of four equations formed by three-dimensional Navier-Stokes equations system for incompressible fluid and equation of continuity, is not closed, equation of continuity is excessive. This is because the three-dimensional Navier-Stokes equations system cannot have a bounded at infinity solutions to the Cauchy problem with a non-zero velocity field divergence.

Comments: 8 Pages. V2

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Submission history

[v1] 2018-11-24 05:07:10
[v2] 2018-12-16 05:44:46

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