Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pattern Formation Induced by Time-Dependent Advection   We study pattern-forming instabilities in reaction-advection-diffusion
systems. We develop an approach based on Lyapunov-Bloch exponents to figure out
the impact of a spatially periodic mixing flow on the stability of a spatially
homogeneous state. We deal with the flows periodic in space that may have
arbitrary time dependence. We propose a discrete in time model, where reaction,
advection, and diffusion act as successive operators, and show that a mixing
advection can lead to a pattern-forming instability in a two-component system
where only one of the species is advected. Physically, this can be explained as
crossing a threshold of Turing instability due to effective increase of one of
the diffusion constants.

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The categories of this paper are: acc-phys
14
The categories of this paper are: math-ph
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
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The categories of this paper are: alg-geom
11
The categories of this paper are: hep-lat
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The categories of this paper are: dg-ga
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The categories of this paper are: q-fin
31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
12
The categories of this paper are: nucl-th
33
The categories of this paper are: plasm-ph