Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Attractors and global averaging of non-autonomous reaction-diffusion
  equations in R^n   We consider a family of non-autonomous reaction-diffusion equations with
almost periodic, rapidly oscillating principal part and nonlinear interactions.
As the frequency of the oscillations tends to infinity, we prove that the
solutions of the non-autonomous equations converge to the solutions of the
autonomous averaged equation. If the nonlinearity is dissipative, we prove
existence of compact attractors and their upper-semicontinuity at infinity.

25
The categories of this paper are: patt-sol
36
The categories of this paper are: cmp-lg
24
The categories of this paper are: dg-ga
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
16
The categories of this paper are: stat
33
The categories of this paper are: plasm-ph
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
13
The categories of this paper are: quant-ph
28
The categories of this paper are: alg-geom
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
22
The categories of this paper are: chao-dyn
14
The categories of this paper are: math-ph