104 citations · 1k across the 43 of their papers we have counts for
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Pattern Formation Induced by Time-Dependent Advection
A. V. Straube, A. Pikovsky
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 per…
Superexponential droplet fractalization as a hierarchical formation of dissipative compactons
Sergey Shklyaev, Arthur V. Straube, Arkady Pikovsky
We study the dynamics of a thin film over a substrate heated from below in a framework of a strongly nonlinear one-dimensional Cahn-Hillard equation. The evolution leads to a fract…
Mixing-induced global modes in open active flow
Arthur V. Straube, Arkady Pikovsky
We describe how a convectively unstable active field in an open flow configuration becomes absolutely unstable due to local mixing. A representation of the mixing region as those w…
Temporal chaos versus spatial mixing in reaction-advection-diffusion systems
Arthur V. Straube, Markus Abel, Arkady Pikovsky
We develop a theory describing the transition to a spatially homogeneous regime in a mixing flow with a chaotic in time reaction. The transverse Lyapunov exponent governing the sta…