Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The impact of source terms in the variational representation of traffic
  flow   This paper revisits the variational theory of traffic flow, now under the
presence of continuum lateral inflows and outflows to the freeway say Eulerian
source terms. It is found that a VT solution exists only in Eulerian
coordinates when source terms are exogenous meaning that they only depend on
time and space, but not when they are a function of traffic conditions, as per
a merge model. In discrete time, however, these dependencies become exogenous,
which allowed us to propose improved numerical solution methods. In Lagrangian
and vehicle number-space coordinates, VT solutions may not exist even if source
terms are exogenous.

18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
3
The categories of this paper are: physics
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
30
The categories of this paper are: q-alg
37
The categories of this paper are: supr-con
22
The categories of this paper are: chao-dyn