Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rooted trees for 3d Navier-Stokes equation   We establish a representation of a class of solutions of 3d Navier-Stokes
equations in $\R^3$ using sums over rooted trees. We study the convergence
properties of this series recovering in a simplified manner some results
obtained recently by Sinai and other known results for solutions in spaces of
pseudo-measures introduced initially by Le Jan and Sznitman. The series
representation make sense also in the critical case where there exists global
solutions for small initial data and it allows the study of their long-time or
small-distance behavior.

0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
6
The categories of this paper are: astro-ph
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
10
The categories of this paper are: q-bio
7
The categories of this paper are: hep-th
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex