Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Local well-posedness of strong solutions to density-dependent liquid
  crystal system   In this paper, we study the Cauchy problem to the density-dependent liquid
crystal system in $\mathbb R^3$. We establish the local existence and
uniqueness of strong solutions to this system. In order to overcome the
difficulties caused by the high order coupling terms, a biharmonic
regularization of the system, as an auxiliary system, is introduced, and we
make full use of the intrinsic cancellation properties between the high order
coupling terms.

4
The categories of this paper are: cond-mat
32
The categories of this paper are: atom-ph
8
The categories of this paper are: hep-ex
20
The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
15
The categories of this paper are: nucl-ex
25
The categories of this paper are: patt-sol
13
The categories of this paper are: quant-ph
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
7
The categories of this paper are: hep-th