Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A PDE model for unidirectional flows: stationary profiles and asymptotic
  behaviour   In this paper, we investigate the stationary profiles of a
convection-diffusion model for unidirectional pedestrian flows in domains with
a single entrance and exit. The inflow and outflow conditions at both the
entrance and exit as well as the shape of the domain have a strong influence on
the structure of stationary profiles, in particular on the formation of
boundary layers. We are able to relate the location and shape of these layers
to the inflow and outflow conditions as well as the shape of the domain using
geometric singular perturbation theory. Furthermore, we confirm and exemplify
our analytical results by means of computational experiments.

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The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
23
The categories of this paper are: solv-int
21
The categories of this paper are: adap-org
17
The categories of this paper are: q-fin
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
30
The categories of this paper are: q-alg