Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Landau-de Gennes corrections to the Oseen-Frank theory of nematic liquid
  crystals   We study the asymptotic behavior of the minimisers of the Landau-de Gennes
model for nematic liquid crystals in a two-dimensional domain in the regime of
small elastic constant. At leading order in the elasticity constant, the
minimum-energy configurations can be described by the simpler Oseen-Frank
theory. Using a refined notion of $\Gamma$-development we recover Landau-de
Gennes corrections to the Oseen-Frank energy. We provide an explicit
characterisation of minimizing $Q$-tensors at this order in terms of optimal
Oseen-Frank directors and observe the emerging biaxiality. We apply our results
to distinguish between optimal configurations in the class of conformal
director fields of fixed topological degree saturating the lower bound for the
Oseen-Frank energy.

12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
30
The categories of this paper are: q-alg
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
24
The categories of this paper are: dg-ga
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
1
The categories of this paper are: cs
17
The categories of this paper are: q-fin