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THE AXISYMMETRIC ANTIDYNAMO THEOREM REVISITED.
- Source :
-
SIAM Journal on Applied Mathematics . 2014, Vol. 74 Issue 2, p571-597. 27p. - Publication Year :
- 2014
-
Abstract
- The axisymmetric kinematic dynamo problem is reconsidered, and a number of open questions are answered. Apart from axisymmetry and smoothness of data and solution we deal with this problem under quite general conditions; i.e., we assume a compressible fluid of variable (in space and time) conductivity moving in an arbitrary (axisymmetric) domain. We prove unconditional, pointwise, and exponential decay of the magnetic field and electric current to zero. The decay rate of the external (meridional) magnetic field can become very small (compared to free decay) for special flow fields and large magnetic Reynolds numbers, as we demonstrate with an example. On the other hand, we show for fluids with weak variation of mass density and conductivity that the meridional and azimuthal decay rates do not drop significantly below those of free decay. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361399
- Volume :
- 74
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- SIAM Journal on Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 108624654
- Full Text :
- https://doi.org/10.1137/130928376