Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the multivariate Burgers equation and the incompressible
  Navier-Stokes equation (Part I)   We provide a constructive global existence proof for the multivariate viscous
Burgers equation system defined on the whole space or on a domain isomorphic to
the n-torus and with time horizon up to infinity and C^{\infty}- data
(satisfying some growth conditions if the problem is posed on the whole space).
The proof is by a time discretized semiexplicit perturbative expansion in
transformed coordinates where the convergence is guaranteed by certain a priori
estimates. The scheme is useful in order to define computation for related
equation systems of fluid dynamics.

23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
1
The categories of this paper are: cs
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
10
The categories of this paper are: q-bio
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
34
The categories of this paper are: chem-ph
13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
32
The categories of this paper are: atom-ph
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat