Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The non-monotonicity of the KPP speed with respect to diffusion in the
  presence of a shear flow   In this paper, we prove via counterexamples that adding an advection term of
the form Shear flow (whose streamlines are parallel to the direction of
propagation) to a reaction-diffusion equation will be an enough heterogeneity
to spoil the increasing behavior of the KPP speed of propagation with respect
to diffusion. The non-monotonicity of the speed with respect to diffusion will
occur even when the reaction term and the diffusion matrices are considered
homogeneous (do not depend on space variables). For the sake of completeness,
we announce our results in a setting which allows domains with periodic
perforations that may or may not be equal to the whole space $\mathbb{R}^N.$

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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: physics
7
The categories of this paper are: hep-th
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph
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The categories of this paper are: nucl-ex
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The categories of this paper are: econ
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The categories of this paper are: ao-sci
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The categories of this paper are: q-fin
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The categories of this paper are: stat
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The categories of this paper are: cmp-lg
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: adap-org