Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Deterministic particle approximation of scalar conservation laws   In this paper we prove that the unique entropy solution to a scalar nonlinear
conservation law with strictly monotone velocity and nonnegative initial
condition can be rigorously obtained as the large particle limit of a
microscopic follow-the-leader type model, which is interpreted as the discrete
Lagrangian approximation of the nonlinear scalar conservation law. The result
is complemented with some numerical simulations.

13
The categories of this paper are: quant-ph
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
1
The categories of this paper are: cs
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
19
The categories of this paper are: eess
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
21
The categories of this paper are: adap-org
32
The categories of this paper are: atom-ph