Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Fast Diffusion Limit for Reaction-Diffusion Systems with Stochastic
  Neumann Boundary Conditions   We consider a class of reaction-diffusion equations with a stochastic
perturbation on the boundary. We show that in the limit of fast diffusion, one
can rigorously approximate solutions of the system of PDEs with stochastic
Neumann boundary conditions by the solution of a suitable
stochastic/deterministic differential equation for the average concentration
that involves reactions only. An interesting effect occurs, if the noise on the
boundary does not change the averaging concentration, but is sufficiently
large. Then surprising additional effective reaction terms appear.
  We focus on systems with polynomial nonlinearities only and give applications
to the two dimensional nonlinear heat equation and the cubic auto-catalytic
reaction between two chemicals.

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The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
5
The categories of this paper are: gr-qc
26
The categories of this paper are: bayes-an
16
The categories of this paper are: stat
4
The categories of this paper are: cond-mat
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The categories of this paper are: econ
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The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
3
The categories of this paper are: physics
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The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
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The categories of this paper are: adap-org
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The categories of this paper are: acc-phys
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The categories of this paper are: eess
6
The categories of this paper are: astro-ph