Stabilized Kuramoto-Sivashinsky equation: A useful model for secondary instabilities and related dynamics of experimental one-dimensional cellular flows

被引：18

作者：

Brunet, P. ^{[1
]}

机构：

[1] KTH Mech, SE-10044 Stockholm, Sweden

[2] Univ Bristol, Sch Math, Bristol BS8 1TW, Avon, England

来源：

PHYSICAL REVIEW E | 2007年 / 76卷 / 01期

关键词：

D O I：

10.1103/PhysRevE.76.017204

中图分类号：

O35 [流体力学]; O53 [等离子体物理学];

学科分类号：

070204 ; 080103 ; 080704 ;

摘要：

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.

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