Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Crowd dynamics and conservation laws with non-local constraints   In this paper we model pedestrian flows evacuating a narrow corridor through
an exit by a one-dimensional hyperbolic conservation law with a non-local
constraint. Existence and stability results for the Cauchy problem with
Lipschitz constraint are achieved by a procedure that combines the wave-front
tracking algorithm with the operator splitting method. The Riemann problem with
piecewise constant constraint is discussed in details, stressing the possible
lack of uniqueness, self-similarity and $\Lloc1$-continuity. One explicit
example of application is provided.

8
The categories of this paper are: hep-ex
12
The categories of this paper are: nucl-th
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
31
The categories of this paper are: ao-sci
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
20
The categories of this paper are: acc-phys
23
The categories of this paper are: solv-int
9
The categories of this paper are: nlin
37
The categories of this paper are: supr-con
29
The categories of this paper are: funct-an
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th