Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the Boussinesq equations with non-monotone temperature profiles   In this article we consider the asymptotic stability of the two-dimensional
Boussinesq equations with partial dissipation near a combination of Couette
flow and temperature profiles $T(y)$. As a first main result we show that if
$T'$ is of size at most $\nu^{1/3}$ in a suitable norm, then the linearized
Boussinesq equations with only vertical dissipation of the velocity but not of
the temperature are stable. Thus, mixing enhanced dissipation can suppress
Rayleigh-B\'enard instability in this linearized case. We further show that
these results extend to the (forced) nonlinear equations with vertical
dissipation in both temperature and velocity.

26
The categories of this paper are: bayes-an
10
The categories of this paper are: q-bio
19
The categories of this paper are: eess
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
11
The categories of this paper are: hep-lat
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
4
The categories of this paper are: cond-mat
6
The categories of this paper are: astro-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph