Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of Nematic Liquid Crystal Flows: the Quasilinear Approach   Consider the (simplified) Leslie-Erickson model for the flow of nematic
liquid crystals in a bounded domain $\Omega \subset \mathbb{R}^n$ for n > 1$.
This article develops a complete dynamic theory for these equations, analyzing
the system as a quasilinear parabolic evolution equation in an
$L_p-L_q$-setting. First, the existence of a unique local strong solution is
proved. This solution extends to a global strong solution, provided the initial
data are close to an equilibrium or the solution is eventually bounded in the
natural norm of the underlying state space. In this case the solution converges
exponentially to an equilibrium. Moreover, the solution is shown to be real
analytic, jointly in time and space.

3
The categories of this paper are: physics
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
31
The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
21
The categories of this paper are: adap-org
22
The categories of this paper are: chao-dyn
15
The categories of this paper are: nucl-ex