Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Bardina's model in the whole space   We consider the Bardina's model for turbulent incompressible flows in the
whole space with a cut-off frequency of order 1/alpha. We show that for any
alpha >0 fixed, the model has a unique regular solution defined for all time.

28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
34
The categories of this paper are: chem-ph
19
The categories of this paper are: eess
20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
17
The categories of this paper are: q-fin
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg
1
The categories of this paper are: cs
9
The categories of this paper are: nlin