Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Theoretical investigation, simulation and empirical analysis of the
  growth pattern of traffic oscillations in the Euler coordinates   The formation and development of oscillations is an important traffic flow
phenomenon. Recent studies found that along a vehicle platoon described in the
Lagrangian specification, traffic oscillations grow in a concave way. Since
stationary bottlenecks are more intuitively described in the Eulerian
framework, this paper investigates whether the concave growth pattern of
traffic oscillations in the Lagrangian coordinates can be transferred to the
Euler coordinates (i.e. the concave increase in standard deviation is no longer
measured across the vehicle indices but as a function of the road location). To
this end, we theoretically unify these two ways of measuring oscillations by
revealing their mapping relationship. We show that the growth pattern measured
in the Lagrangian coordinates can be transferred to the Euler coordinates. We
believe this finding is nontrivial since the scenarios are significantly
different: while in vehicle platoons (Lagrangian view, non-penetrable moving
bottleneck), the speed variance for a given vehicle is ideally constant, the
drivers in the Eulerian setting (penetrable stationary bottleneck triggering
the waves) experience all amplitudes, first the big ones and then the small
ones. To test this proposition, we performed simulation using two different
kinds of car-following models. Simulation results validate the theoretical
analysis. Finally, we performed empirical analysis using the NGSIM data, which
also validates the theoretical analysis.

28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
3
The categories of this paper are: physics
31
The categories of this paper are: ao-sci
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
35
The categories of this paper are: mtrl-th
7
The categories of this paper are: hep-th
14
The categories of this paper are: math-ph
12
The categories of this paper are: nucl-th
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc