Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Averaging theory for the structure of hydraulic jumps and separation in
  laminar free-surface flows   We present a simple viscous theory of free-surface flows in boundary layers,
which can accommodate regions of separated flow. In particular this yields the
structure of stationary hydraulic jumps, both in their circular and linear
versions, as well as structures moving with a constant speed. Finally we show
how the fundamental hydraulic concepts of subcritical and supercritical flow,
originating from inviscid theory, emerge at intermediate length scales in our
model.

35
The categories of this paper are: mtrl-th
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
19
The categories of this paper are: eess
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
12
The categories of this paper are: nucl-th
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
16
The categories of this paper are: stat
23
The categories of this paper are: solv-int
14
The categories of this paper are: math-ph