Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Blow Ups of Complex Solutions of the 3D-Navier-Stokes System   We consider complex-valued solutions of the three-dimensional Navier-Stokes
system without external forcing on $R^3$. We show that there exists an open set
in the space of 10-parameter families of initial conditions such that for each
family from this set there are values of parameters for which the solution
develops blow up in finite time.

11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: stat
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The categories of this paper are: dg-ga
25
The categories of this paper are: patt-sol
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
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The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
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The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
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The categories of this paper are: adap-org