Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Regularity problem for the nematic LCD system with Q-tensor in $\mathbb
  R^3$   We study the regularity problem of a nematic liquid crystal model with local
configuration represented by Q-tensor in three dimensions. It was an open
question whether the classical Prodi-Serrin condition implies regularity for
this model. Applying a wavenumber splitting method, we show that a solution
does not blow-up under certain extended Beale-Kato-Majda condition solely
imposed on velocity. This regularity criterion automatically implies that the
classical Prodi-Serrin or Beale-Kato-Majda condition prevents blow-up of
solutions.

13
The categories of this paper are: quant-ph
30
The categories of this paper are: q-alg
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
1
The categories of this paper are: cs
19
The categories of this paper are: eess
29
The categories of this paper are: funct-an
21
The categories of this paper are: adap-org
0
The categories of this paper are: hep-ph
4
The categories of this paper are: cond-mat
26
The categories of this paper are: bayes-an
35
The categories of this paper are: mtrl-th
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th