Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Shape minimization problems in liquid crystals   We consider a class of liquid crystal free-boundary problems for which both
the equilibrium shape and internal configuration of a system must
simultaneously be determined, for example in films with air- or fluid-liquid
crystal interfaces and elastomers. We develop a finite element algorithm to
solve such problems with dynamic mesh control, achieved by supplementing the
free energy with an auxiliary functional that promotes mesh quality and is
minimized in the null space of the energy. We apply this algorithm to a
flexible capacitor, as well as to determine the shape of liquid crystal
tactoids as a function of the surface tension and elastic constants. These are
compared with theoretical predictions and experimental observations of tactoids
from the literature.

33
The categories of this paper are: plasm-ph
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
14
The categories of this paper are: math-ph
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs