Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Analysis and Control of a Non-Local PDE Traffic Flow Model   The paper provides conditions that guarantee existence and uniqueness of
classical solutions for a non-local conservation law on a ring-road with
possible nudging (or "look behind") terms. The obtained conditions are novel,
as they are not covered by existing results in the literature. The paper also
provides results which indicate that nudging can increase the flow in a
ring-road and, if properly designed, can have a strong stabilizing effect on
traffic flow. More specifically, the paper gives results which guarantee local
exponential stability of the uniform equilibrium in the L2 state norm even for
cases where the uniform equilibrium profile in a ring-road without nudging is
not asymptotically stable and the model admits density waves. The efficiency of
the use of nudging terms is demonstrated by means of a numerical example.even
for cases where the uniform equilibrium profile in a ring-road without nudging
is not asymptotically stable and the model admits density waves. The efficiency
of the use of nudging terms is demonstrated by means of a numerical example.

36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
0
The categories of this paper are: hep-ph
23
The categories of this paper are: solv-int
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
4
The categories of this paper are: cond-mat
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org
11
The categories of this paper are: hep-lat