Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Strongly nonlinear asymptotic model of cellular instabilities in
  premixed flames with stepwise ignition temperature kinetics   In this paper we consider ignition-temperature, first-order reaction model of
thermo-diffusive combustion that describes dynamics of thick flames arising in
a theory of combustion of hydrogen-oxygen and ethylene-oxygen mixtures. These
flames often assume the shape of propagating curved interfaces that correspond
to level sets of constant temperature. We derive a fully nonlinear equation
that governs dynamics of these level sets under a single assumption of small
curvature. We study this equation for various asymptotic parameter regimes and
discuss the ranges of validity of the corresponding simplified models. Our
theoretical findings are supported by numerical simulations.

29
The categories of this paper are: funct-an
15
The categories of this paper are: nucl-ex
26
The categories of this paper are: bayes-an
21
The categories of this paper are: adap-org
3
The categories of this paper are: physics
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
19
The categories of this paper are: eess
2
The categories of this paper are: math
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
20
The categories of this paper are: acc-phys