Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Evolution of non-isothermal Landau-de Gennes nematic liquid crystals
  flows with singular potential   We discuss a 3D model describing the time evolution of nematic liquid
crystals in the framework of Landau-de Gennes theory, where the natural
physical constraints are enforced by a singular free energy bulk potential
proposed by J.M. Ball and A. Majumdar. The thermal effects are present through
the component of the free energy that accounts for intermolecular interactions.
The model is consistent with the general principle of thermodynamics and
mathematically tractable. We identify the a priori estimates for the associated
system of evolutionary partial differential equations and construct
global-in-time weak solutions for arbitrary physically relevant initial data.

17
The categories of this paper are: q-fin
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
21
The categories of this paper are: adap-org
15
The categories of this paper are: nucl-ex
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
16
The categories of this paper are: stat
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
9
The categories of this paper are: nlin
5
The categories of this paper are: gr-qc