Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Study of chaotic motion in fluid mechanics with the scale relativity
  methods   Chaotic motion in time of a number of macroscopic systems has been analyzed,
in the framework of scale relativity, as motion in a fractal space with
topological dimension 3 and geodesics with fractal dimension 2. The motion
equation is then Schr\"odinger-like and its interpretation in fluid mechanics
gives the well-known Euler and Navier-Stokes equations. We generalize here this
formalism to the study of a system exhibiting a chaotic behavior both in space
and time. We are thus lead to consider macroscopic fluid properties as issuing
from the geodesic features of a fractal `space-time' with topological dimension
4 and geodesics with fractal dimension 2. This allows us to obtain both a
motion equation for the fluid velocity field, which exhibits then three
components while only one is necessary for the description of an ordinary
fluid, and a relation between their three curls. The physical properties of
this solution suggest it could represent some three-dimensional chaotic
behavior for a classical fluid, tentatively turbulent if particular conditions
are fulfilled. Different ways of testing experimentally these assumptions are
proposed.

11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
31
The categories of this paper are: ao-sci
4
The categories of this paper are: cond-mat
5
The categories of this paper are: gr-qc
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys