Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Highly rotating viscous compressible fluids in presence of capillarity
  effects   In this paper we study a singular limit problem for a Navier-Stokes-Korteweg
system with Coriolis force, in the domain $\R^2\times\,]0,1[\,$ and for general
ill-prepared initial data. Taking the Mach and the Rossby numbers to be
proportional to a small parameter $\veps$ going to $0$, we perform the
incompressible and high rotation limits simultaneously. Moreover, we consider
both the constant capillarity and vanishing capillarity regimes. In this last
case, the limit problem is identified as a $2$-D incompressible Navier-Stokes
equation in the variables orthogonal to the rotation axis. If the capillarity
is constant, instead, the limit equation slightly changes, keeping however a
similar structure. Various rates at which the capillarity coefficient can
vanish are also considered: in most cases this will produce an anisotropic
scaling in the system, for which a different analysis is needed. The proof of
the results is based on suitable applications of the RAGE theorem.

28
The categories of this paper are: alg-geom
14
The categories of this paper are: math-ph
34
The categories of this paper are: chem-ph
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
21
The categories of this paper are: adap-org
31
The categories of this paper are: ao-sci
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
9
The categories of this paper are: nlin
30
The categories of this paper are: q-alg
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs