Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Reaction Diffusion Equations with Nonlinear Boundary Conditions in
  Narrow Domains   Second initial boundary problem in narrow domains of width $\epsilon\ll 1$
for linear second order differential equations with nonlinear boundary
conditions is considered in this paper. Using probabilistic methods we show
that the solution of such a problem converges as $\epsilon \downarrow 0$ to the
solution of a standard reaction-diffusion equation in a domain of reduced
dimension. This reduction allows to obtain some results concerning wave front
propagation in narrow domains. In particular, we describe conditions leading to
jumps of the wave front.

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The categories of this paper are: physics
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The categories of this paper are: eess
30
The categories of this paper are: q-alg
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: econ
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The categories of this paper are: quant-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: astro-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: atom-ph
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin