Sign-singular measures - Fast magnetic dynamos, and high-Reynolds-number fluid turbulence

Details Sign-singular measures - Fast magnetic dynamos, and high-Reynolds-number fluid turbulence Sign-singular measures - Fast magnetic dynamos, and high-Reynolds-number fluid turbulence

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvl..69.2654o&link_type=abstract

Physical Review Letters (ISSN 0031-9007), vol. 69, no. 18, p. 2654-2657.

Mathematics

Probability

59

Conducting Fluids, Dynamo Theory, High Reynolds Number, Singularity (Mathematics), Turbulent Flow, Chaos, Fractals, K-Epsilon Turbulence Model, Kinematics, Magnetic Fields, Probability Theory

Scientific paper

It is shown that sign-singular measures with nontrivial cancellation
exponents occur in dynamos and fluid turbulence. A cancellation exponent
is introduced to characterize such measures quantitatively. Examples
from kinematic magnetic dynamos and fluid turbulence are used to
illlustrate this kind of singular behavior.

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