Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergence to time-periodic solutions in Hamilton-Jacobi equations on
  the circle   The goal of this paper is to give a simple proof of the convergence to
time-periodic states of the solutions of time-periodic Hamilton-Jacobi
equations on the circle with convex Hamiltonian. Note that the period of the
limiting solutions may be greater than the period of the Hamiltonian.

29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
9
The categories of this paper are: nlin
27
The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
35
The categories of this paper are: mtrl-th
11
The categories of this paper are: hep-lat