Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Hydraulic Jump in One-dimensional Flow   In the presence of viscosity the hydraulic jump in one dimension is seen to
be a first-order transition. A scaling relation for the position of the jump
has been determined by applying an averaging technique on the stationary
hydrodynamic equations. This gives a linear height profile before the jump, as
well as a clear dependence of the magnitude of the jump on the outer boundary
condition. The importance of viscosity in the jump formation has been
convincingly established, and its physical basis has been understood by a
time-dependent analysis of the flow equations. In doing so, a very close
correspondence has been revealed between a perturbation equation for the flow
rate and the metric of an acoustic white hole. We finally provide experimental
support for our heuristically developed theory.

17
The categories of this paper are: q-fin
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
2
The categories of this paper are: math
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
27
The categories of this paper are: comp-gas
24
The categories of this paper are: dg-ga
21
The categories of this paper are: adap-org
35
The categories of this paper are: mtrl-th
19
The categories of this paper are: eess