Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Solutions to the Lagrangian Averaged Navier-Stokes equation in
  low regularity Besov spaces   The Lagrangian Averaged Navier-Stokes (LANS) equations are a recently derived
approximation to the Navier-Stokes equations. Existence of global solutions for
the LANS equation has been proven for initial data in the Sobolev space
$H^{3/4,2}(\mathbb{R}^3)$ and in the Besov space $B^{3/2}_{2,q}(\mathbb{R}^3)$.
In this paper, we use an interpolation based method to prove the existence of
global solutions to the LANS equation with initial data in
$B^{3/p}_{p,q}(\mathbb{R}^3)$ for any $p>3$.

6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
30
The categories of this paper are: q-alg
12
The categories of this paper are: nucl-th
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
8
The categories of this paper are: hep-ex