Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Exact solutions to the Navier-Stokes equation for an incompressible flow
  from the interpretation of the Schroedinger wave function   The existence of the velocity potential is a direct consequence from the
derivation of the continuity equation from the Schroedinger equation. This
implies that the Cole-Hopf transformation is applicable to the Navier-Stokes
equation for an incompressible flow and allows reducing the Navier-Stokes
equation to the Einstein-Kolmogorov equation, in which the reaction term
depends on the pressure. The solution to the resulting equation, and to the
Navier-Stokes equation as well, can then be written in terms of the Green's
function of the heat equation and is given in the form of an integral mapping.
Such a form of the solution makes bifurcation period doubling possible, i.e.
solutions to transition and turbulent flow regimes in spite of the existence of
the velocity potential.

32
The categories of this paper are: atom-ph
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom