Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The convective instability of a Maxwell-Cattaneo fluid in the presence
  of a vertical magnetic field   We study the instability of a B\'enard layer subject to a vertical uniform
magnetic field, in which the fluid obeys the Maxwell-Cattaneo (MC) heat
flux-temperature relation. We extend the work of Bissell (Proc. R. Soc. A, 472:
20160649, 2016) to non-zero values of the magnetic Prandtl number $p_m$. With
non-zero $p_m$, the order of the dispersion relation is increased, leading to
considerably richer behaviour. An asymptotic analysis at large values of the
Chandrasekhar number $Q$ confirms that the MC effect becomes important when $C
Q^{1/2}$ is $O(1)$, where $C$ is the Maxwell-Cattaneo number. In this regime,
we derive a scaled system that is independent of $Q$. When $CQ^{1/2}$ is large,
the results are consistent with those derived from the governing equations in
the limit of Prandtl number $p\to \infty$ with $p_m$ finite; here we identify a
new mode of instability, which is due neither to inertial nor induction
effects. In the large $p_m$ regime, we show how a transition can occur between
oscillatory modes of different horizontal scale. For $Q \gg 1$ and small values
of $p$, we show that the critical Rayleigh number is non-monotonic in $p$
provided that $C>1/6$. While the analysis of this paper is performed for
stress-free boundaries, it can be shown that other types of mechanical boundary
conditions give the same leading order results.

2
The categories of this paper are: math
5
The categories of this paper are: gr-qc
22
The categories of this paper are: chao-dyn
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
28
The categories of this paper are: alg-geom
35
The categories of this paper are: mtrl-th
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
11
The categories of this paper are: hep-lat
14
The categories of this paper are: math-ph
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin