Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the propagation of a periodic flame front by an arrhenius kinetic   We consider the propagation of a flame front in a solid medium with a
periodic structure. The model is governed by a free boundary system for the
pair" temperature-front. "The front's normal velocity depends on the
temperature via a (degenerate) Arrhenius kinetic. It also depends on the
front's mean curvature. We show the existence of travelling wave solutions for
the full system and consider their homogenization as the period tends to zero.
We analyze the curvature effects on the homogenization and obtain a continuum
of limiting waves parametrized by the limiting ratio "curvature
coefficient/period." This analysis provides valuable information on the
heterogeneous propagation as well.

33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
10
The categories of this paper are: q-bio
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
3
The categories of this paper are: physics
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The categories of this paper are: chao-dyn
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
17
The categories of this paper are: q-fin