Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stability analysis and Hopf bifurcation at high Lewis number in a
  combustion model with free interface   In this paper we analyze the stability of the traveling wave solution for an
ignition-temperature, first-order reaction model of thermo-diffusive
combustion, in the case of high Lewis numbers (${\rm Le} >1$). The system of
two parabolic PDEs is characterized by a free interface at which ignition
temperature $\Theta_i$ is reached. We turn the model to a fully nonlinear
problem in a fixed domain. When the Lewis number is large, we define a
bifurcation parameter $m=\Theta_i/(1-\Theta_i)$ and a perturbation parameter
$\varepsilon= 1/{\rm Le}$. The main result is the existence of a critical value
$m^c(\varepsilon)$ close to $m^c=6$ at which Hopf bifurcation holds for
$\varepsilon$ small enough. Proofs combine spectral analysis and non-standard
application of Hurwitz Theorem with asymptotics as $\varepsilon\to 0$.

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The categories of this paper are: nucl-th
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The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
21
The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
20
The categories of this paper are: acc-phys
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The categories of this paper are: hep-th
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-ex
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The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: cmp-lg
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The categories of this paper are: q-bio
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The categories of this paper are: stat
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The categories of this paper are: bayes-an