Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence of one-dimensional stationary mean field games with
  vanishing potential   We consider the one-dimensional stationary first-order mean-field game (MFG)
system with the coupling between the Hamilton-Jacobi equation and the transport
equation. In both cases that the coupling is strictly increasing and decreasing
with respect to the density of the population, we show that when the potential
vanishes the regular solution of MFG system converges to the one of the
corresponding integrable MFG system. Furthermore, we obtain the convergence
rate of such limit.

32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
0
The categories of this paper are: hep-ph
8
The categories of this paper are: hep-ex
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
34
The categories of this paper are: chem-ph
1
The categories of this paper are: cs
12
The categories of this paper are: nucl-th
6
The categories of this paper are: astro-ph
33
The categories of this paper are: plasm-ph
30
The categories of this paper are: q-alg
31
The categories of this paper are: ao-sci
29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex