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arXiv · 1703.05113

A type D breakdown of the Navier Stokes equation in d=3 spatial dimensions

Han Geurdes
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Abstract

In this paper a type D breakdown of the Navier Stokes (NS) in d=3 is demonstrated. The element of the breakdown also occurs in the Euler equation. We consider the fact that in d=2 Ladyzhenskaya found a generalized type B solution. The discussion revolves around the notion, also found in quantum spin theory, that in the behavior of a system can be quite different from the behavior in d=2 dimensions. Concerning applications, our resolution of the problem implies that e.g. hydrology problems formulated as a NS equation can only be solved in computational approximation.

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Han Geurdes. 2017-03-07. A type D breakdown of the Navier Stokes equation in d=3 spatial dimensions. https://doi.org/10.1080/23311835.2017.1284293

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