Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Critical theory of turbulence in incompressible fluids   The Navier-Stokes equation describes the deterministic evolution of
incompressible fluids. The effects of random initial conditions on solutions of
this equation are studied. It is shown that there is an infrared stable fixed
point accessible within the epsilon expansion, about $d_c=4,$ with a particular
choice of viscosity. The behaviour of the usual viscous fluid is obtained as a
relevant perturbation about this fixed point, with the usual viscosity serving
as $T-T_c.$

8
The categories of this paper are: hep-ex
25
The categories of this paper are: patt-sol
17
The categories of this paper are: q-fin
14
The categories of this paper are: math-ph
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
3
The categories of this paper are: physics
36
The categories of this paper are: cmp-lg
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph