Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence rates of the front tracking method for conservation laws in
  the Wasserstein distances   We prove that front tracking approximations to entropy solutions of scalar
conservation laws with convex fluxes converge at a rate of $\Delta x^2$ in the
1-Wasserstein distance $W_1$. Assuming positive initial data, we also show that
the approximations converge at a rate of $\Delta x$ in the $\infty$-Wasserstein
distance $W_\infty$. Moreover, from a simple interpolation inequality between
$W_1$ and $W_\infty$ we obtain convergence rates in all the $p$-Wasserstein
distances: $\Delta x^{1+1/p}$, $p \in [1,\infty]$.

27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
25
The categories of this paper are: patt-sol
8
The categories of this paper are: hep-ex
19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg