Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global regularity of three dimensional density patch for inhomogeneous
  incompressible viscous flow   The present work is devoted to proving that the boundary regularity of the
three dimensional density patch persists by time evolution for inhomogeneous
incompressible viscous flow, with some smallness condition on the initial
velocity.

30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
8
The categories of this paper are: hep-ex
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio