Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local regularity conditions on initial data for local energy solutions
  of the Navier-Stokes equations   We study the regular sets of local energy solutions to the Navier-Stokes
equations in terms of conditions on the initial data. It is shown that if a
weighted $L^2$ norm of the initial data is finite, then all local energy
solutions are regular in a region confined by space-time hypersurfaces
determined by the weight. This result refines and generalizes Theorems C and D
of Caffarelli, Kohn and Nirenberg (Comm. Pure Appl. Math. 35; 1982) and our
recent paper [15] as well.

24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
16
The categories of this paper are: stat
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
31
The categories of this paper are: ao-sci
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
32
The categories of this paper are: atom-ph
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
28
The categories of this paper are: alg-geom
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex