Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Transient energy growth in the ageostrophic Eady model   The problem of optimal initial disturbances in thermal wind shear is
revisited and extended to include non-hydrostatic effects. This systematic
study compares transient and modal growth rates of submesoscale instabilities
over a large range of zonal and meridional wave numbers, aspect ratios, and
different Richardson number regimes. Selection criteria were derived to remove
spurious and unresolved instability modes that arise from the eigenvalue
problem and we generalize the study of the hydrostatic Eady problem by Heifetz
and Farrell (2003, 2007, 2008) to thin fronts, characterized by large aspect
ratios. Such fronts are commonly found at the early stages of frontogenesis,
for example, in the ocean mesoscale eddies and near the eye wall of hurricanes.
In particular, we show that transient energy growth rates are up to two orders
of magnitude larger than modal counterparts for a wide range of Richardson
number and that the effects of transient energy gain become even greater when
non-hydrostatic effects become important and/or for large Richardson numbers.
This study also compares the dominant energy pathways contributing to the
energy growth at short and long times. For symmetric modes, we recover the
inertia-gravity instability described in Xu et al. (2007). These mechanisms are
shown to be the most powerful mediator of vertical transport when compared with
the fastest growing baroclinic and symmetric modes. These results highlight the
importance of transient processes in the ocean and the atmosphere.

30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys
33
The categories of this paper are: plasm-ph
0
The categories of this paper are: hep-ph
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
25
The categories of this paper are: patt-sol
31
The categories of this paper are: ao-sci
16
The categories of this paper are: stat
7
The categories of this paper are: hep-th
11
The categories of this paper are: hep-lat
36
The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio