Stabilized Kuramoto-Sivashinsky equation: a useful model for secondary instabilities and related dynamics of experimental one-dimensional cellular flows.
We report numerical simulations of one-dimensional cellular solutions of the stabilized Kuramoto-Sivashinsky equation. This equation offers a range of generic behavior in pattern-forming instabilities of moving interfaces, such as a host of secondary instabilities or transition toward disorder. We compare some of these collective behaviors to those observed in experiments. In particular, destabilization scenarios of bifurcated states are studied in a spatially semi-extended situation, which is common in realistic patterns, but has been barely explored so far.
Brunet
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KTH Mechanics, SE 10044 Stockholm, Sweden. p.brunet@bristol.ac.uk