Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Global Solvability of the Inhomogeneous Ericksen-Leslie System with only
  Bounded Density   Ericksen and Leslie established a theory to model the flow of nematic liquid
crystals. This paper is devoted to the Cauchy Problem of a simplified version
of their system, which retains most of the properties of the original one. We
consider the density-dependent case and we establish the global existence of
solutions in the whole space for small initial data. The initial density only
has to be bounded and kept far from vacuum, while the initial velocity belongs
to some critical Besov Space. Under a little bit more regularity for the
initial velocity, we prove also that those solutions are unique.

34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
17
The categories of this paper are: q-fin
15
The categories of this paper are: nucl-ex
1
The categories of this paper are: cs
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an