Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the relevance of the dam break problem in the context of nonlinear
  shallow water equations   The classical dam break problem has become the de facto standard in
validating the Nonlinear Shallow Water Equations (NSWE) solvers. Moreover, the
NSWE are widely used for flooding simulations. While applied mathematics
community is essentially focused on developing new numerical schemes, we tried
to examine the validity of the mathematical model under consideration. The main
purpose of this study is to check the pertinence of the NSWE for flooding
processes. From the mathematical point of view, the answer is not obvious since
all derivation procedures assumes the total water depth positivity. We
performed a comparison between the two-fluid Navier-Stokes simulations and the
NSWE solved analytically and numerically. Several conclusions are drawn out and
perspectives for future research are outlined.

13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
19
The categories of this paper are: eess
9
The categories of this paper are: nlin
11
The categories of this paper are: hep-lat
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex