Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Contractive metrics for scalar conservation laws   We consider nondecreasing entropy solutions to 1-d scalar conservation laws
and show that the spatial derivatives of such solutions satisfy a contraction
property with respect to the Wasserstein distance of any order. This result
extends the L^1-contraction property shown by Kruzkov.

21
The categories of this paper are: adap-org
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
24
The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
8
The categories of this paper are: hep-ex