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Nonlinear stability of Taylor's vortex arrayIt is proved that the two-dimensional Taylor vortex array, which is an exact unsteady solution of the Navier-Stokes equation, is globally and asymptotically stable in the mean with respect to three-dimensional periodic disturbances. A time-dependent bound on the decay rate of the kinetic energy of disturbances is obtained.
Document ID
19870044293
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
doi:10.1063/1.866522
Authors
Lin, S. P. (Clarkson University Potsdam, NY, United States)
Tobak, M. (NASA Ames Research Center Moffett Field, CA, United States)
Date Acquired
August 13, 2013
Publication Date
February 1, 1987
Publication Information
Publication: Physics of Fluids
Volume: 30
ISSN: 0031-9171
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
87A31567
Funding Number(s)
CONTRACT_GRANT: NCC2-280
Distribution Limits
Public
Copyright
Other

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