Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Front propagation in cellular flows for fast reaction and small
  diffusivity   We investigate the influence of fluid flows on the propagation of chemical
fronts arising in FKPP type models. We develop an asymptotic theory for the
front speed in a cellular flow in the limit of small molecular diffusivity and
fast reaction, i.e., large P\'eclet ($Pe$) and Damk\"ohler ($Da$) numbers. The
front speed is expressed in terms of a periodic path -- an instanton -- that
minimizes a certain functional. This leads to an efficient procedure to
calculate the front speed, and to closed-form expressions for $(\log
Pe)^{-1}\ll Da\ll Pe$ and for $Da\gg Pe$. Our theoretical predictions are
compared with (i) numerical solutions of an eigenvalue problem and (ii)
simulations of the advection--diffusion--reaction equation.

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The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
23
The categories of this paper are: solv-int
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The categories of this paper are: bayes-an
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
6
The categories of this paper are: astro-ph
36
The categories of this paper are: cmp-lg
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The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
33
The categories of this paper are: plasm-ph