Noise-sustained structures in the Kuramoto-Sivashinsky equation
- 1 January 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 39 (1) , 462-465
- https://doi.org/10.1103/physreva.39.462
Abstract
We investigate the interaction between external noise and spatial degrees of freedom for the Kuramoto-Sivashinsky (KS) equation with and without damping, a prototype equation which is known to show weak spatial turbulence and which arises in many areas including flame fronts, flow down an inclined plane, convection between insulating boundaries, etc. We show that the KS equation can be convectively unstable and can lead to noise-sustained structures.Keywords
This publication has 20 references indexed in Scilit:
- Generation of counterpropagating nonlinear interacting traveling waves by localized noisePhysics Letters A, 1988
- Turbulent bursts, spots and slugs in a generalized Ginzburg-Landau equationPhysics Letters A, 1987
- Spatially growing waves, intermittency, and convective chaos in an open-flow systemPhysica D: Nonlinear Phenomena, 1987
- Fluctuation and distribution of macroscopic order in formation processes of a dissipative structurePhysical Review A, 1986
- Flow regimes in a circular Couette system with independently rotating cylindersJournal of Fluid Mechanics, 1986
- Noise-sustained structure, intermittency, and the Ginzburg-Landau equationJournal of Statistical Physics, 1985
- Time Dependence of Flow Patterns near the Convective Threshold in a Cylindrical ContainerPhysical Review Letters, 1985
- External Noise Can Suppress the Onset of Spatial TurbulencePhysical Review Letters, 1985
- Instabilities, Pattern Formation, and Turbulence in FlamesAnnual Review of Fluid Mechanics, 1983
- Diffusion-Induced Chaos in Reaction SystemsProgress of Theoretical Physics Supplement, 1978