Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: How and why non smooth solutions of the 3D Navier-Stokes equations could
  possibly develop   Fluid configurations in three-dimensions, displaying a plausible decay of
regularity in a finite time, are suitably built and examined. Vortex rings are
the primary ingredients in this study. The full Navier-Stokes system is
converted into a 3D scalar problem, where appropriate numerical methods are
implemented in order to figure out the behavior of the solutions. Further
simplifications in 2D and 1D provide interesting toy problems, that may be used
as a starting platform for a better understanding of blowup phenomena.

24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
33
The categories of this paper are: plasm-ph
29
The categories of this paper are: funct-an
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int