Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pulsating fronts for bistable on average reaction-diffusion equations in
  a time periodic environment   This paper is devoted to reaction-diffusion equations with bistable
nonlinearities depending periodically on time. These equations admit two
linearly stable states. However, the reaction terms may not be bistable at
every time. These may well be a periodic combination of standard bistable and
monostable nonlinearities. We are interested in a particular class of
solutions, namely pulsating fronts. We prove the existence of such solutions in
the case of small time periods of the nonlinearity and in the case of small
perturbations of a nonlinearity for which we know there exist pulsating fronts.
We also study uniqueness, monotonicity and stability of pulsating fronts.

1
The categories of this paper are: cs
25
The categories of this paper are: patt-sol
29
The categories of this paper are: funct-an
24
The categories of this paper are: dg-ga
31
The categories of this paper are: ao-sci
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
12
The categories of this paper are: nucl-th
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
17
The categories of this paper are: q-fin
9
The categories of this paper are: nlin
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
33
The categories of this paper are: plasm-ph
35
The categories of this paper are: mtrl-th