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Incipient singularities in the Navier-Stokes equationsInfinite pointwise stretching in a finite time for general initial conditions is found in a simulation of the Biot-Savart equation for a slender vortex tube in three dimensions. Viscosity is ineffective in limiting the divergence in the vorticity as long as it remains concentrated in tubes. Stability has not been shown.
Document ID
19860028130
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
doi:10.1103/PhysRevLett.55.1749
Authors
Siggia, E. D. (Cornell University Ithaca, NY, United States)
Pumir, A. (California, University Santa Barbara, United States)
Date Acquired
August 12, 2013
Publication Date
October 21, 1985
Publication Information
Publication: Physical Review Letters
Volume: 55
ISSN: 0031-9007
Subject Category
Fluid Mechanics And Heat Transfer
Accession Number
86A12868
Funding Number(s)
CONTRACT_GRANT: NSF PHY-82-17853
CONTRACT_GRANT: NSF DMR-83-14625
CONTRACT_GRANT: DE-AC02-83ER-13004
Distribution Limits
Public
Copyright
Other

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