Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The space $B^{-1}_{\infty, \infty}$, volumetric sparseness, and 3D NSE   In the context of the $L^\infty$-theory of the 3D NSE, it is shown that
suitable smallness of a solution in Besov space $B^{-1}_{\infty, \infty}$
suffices to prevent a possible blow-up.

12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
3
The categories of this paper are: physics
11
The categories of this paper are: hep-lat
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
19
The categories of this paper are: eess
13
The categories of this paper are: quant-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin