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Modulational stability of periodic solutions of the Kuramoto-Sivaskinsky equationWe study the long-wave, modulational, stability of steady periodic solutions of the Kuramoto-Sivashinsky equation. The analysis is fully nonlinear at first, and can in principle be carried out to all orders in the small parameter, which is the ratio of the spatial period to a characteristic length of the envelope perturbations. In the linearized regime, we recover a high-order version of the results of Frisch, She, and Thual, which shows that the periodic waves are much more stable than previously expected.
Document ID
19940008415
Acquisition Source
Legacy CDMS
Document Type
Contractor Report (CR)
Authors
Papageorgiou, Demetrios T. (Institute for Computer Applications in Science and Engineering Hampton, VA, United States)
Papanicolaou, George C. (New York Univ. New York., United States)
Smyrlis, Yiorgos S. (Manchester Univ. United Kingdom)
Date Acquired
September 6, 2013
Publication Date
July 1, 1993
Subject Category
Fluid Mechanics And Heat Transfer
Report/Patent Number
ICASE-93-44
AD-A269128
NAS 1.26:191502
NASA-CR-191502
Accession Number
94N12888
Funding Number(s)
CONTRACT_GRANT: NAS1-18605
CONTRACT_GRANT: NSF DMS-90-03227
CONTRACT_GRANT: F49620-92-J-0023
CONTRACT_GRANT: NAS1-19480
CONTRACT_GRANT: NATO-CRG-920097
PROJECT: RTOP 505-90-52-01
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.

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