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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...
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