Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Towards a dynamical theory of multifractals in turbulence   Making use of the exact equations for structure functions, supplemented by
the equations for dissipa tive anomaly as well as an estimate for the
Lagrangian acceleration of fluid particles, we obtain a main result of the
multifractal theory of turbulence. The central element of the theory is a
dissipation cut-off that depends on the order of the structure function. An
expression obtained for the exponents $s_{n}$ in the scaling relations
$\bar{(\frac{\partial u}{\partial x})^{n}}/\bar{(\frac{\partial u}{\partial
x})^{2}}^{\frac{n}{2}} \propto Re^{s_{n}}$, between the velocity gradients
$\frac{\partial u}{\partial x}$ and the Reynolds number $Re$, agrees well with
experimental data.

8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
17
The categories of this paper are: q-fin
28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
25
The categories of this paper are: patt-sol
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
20
The categories of this paper are: acc-phys
5
The categories of this paper are: gr-qc
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th