Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Well-posedness of a coupled system of Skorohod-like stochastic
  differential equations   We study the well-posedness of a coupled system of Skorohod-like stochastic
differential equations with reflecting boundary condition. The setting
describes the evacuation dynamics of a mixed crowd composed of both active and
passive pedestrians moving through a domain with obstacles, fire and smoke. As
main working techniques, we use compactness methods and the Skorohod's
representation of solutions to SDEs posed in bounded domains. This functional
setting is a new point of view in the field of modeling and simulation
pedestrian dynamics. The main challenge is to handle the coupling in the model
equations together with the multiple-connectedness of the domain and the
pedestrian-obstacle interaction.

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The categories of this paper are: cs
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
27
The categories of this paper are: comp-gas
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The categories of this paper are: hep-lat
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The categories of this paper are: gr-qc
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The categories of this paper are: nlin
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
33
The categories of this paper are: plasm-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
21
The categories of this paper are: adap-org