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The geodesic flow generates a fast dynamo: an elementary proof
Author(s):
C.
Chicone;
Y.
Latushkin
Journal:
Proc. Amer. Math. Soc.
125
(1997),
3391-3396.
MSC (1991):
Primary 76W05, 58F99, 58G25
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Abstract:
We give elementary and explicit arguments to show that the geodesic flow on the unit tangent bundle of a two dimensional Riemannian manifold with constant negative curvature provides an example of a ``fast'' dynamo for the magnetic kinematic dynamo equation.
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Additional Information:
C.
Chicone
Affiliation:
Department of Mathematics, University of Missouri, Columbia, Missouri 65211
Email:
carmen@chicone.math.missouri.edu
Y.
Latushkin
Affiliation:
Department of Mathematics, University of Missouri, Columbia, Missouri 65211
Email:
yuri@math.missouri.edu
DOI:
10.1090/S0002-9939-97-04187-7
PII:
S 0002-9939(97)04187-7
Keywords:
Kinematic dynamo,
geodesic flow
Received by editor(s):
April 24, 1996
Additional Notes:
The first author's research was supported by the National Science Foundation under the grant DMS-9303767; the second author was supported by the National Science Foundation under the grant DMS-9400518 and by the SRF of the University of Missouri.
Communicated by:
Jeffrey B. Rauch
Copyright of article:
Copyright
1997,
American Mathematical Society
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