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On general transformations and variational principles of three-dimensional incompressible gravitating flows in ideal MHD

Published online by Cambridge University Press:  01 November 2006

A. H. Khater ,
D. K. Callebaut ,
T. N. Abdelhameed  and
A. Hady
A. H. Khater
Affiliation:
Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt email: [email protected] & [email protected] Department Natuurkunde, CGB, University of Antwerp, B-2020 Antwerp, Belgium email: [email protected]
D. K. Callebaut
Affiliation:
Department Natuurkunde, CGB, University of Antwerp, B-2020 Antwerp, Belgium email: [email protected]
T. N. Abdelhameed
Affiliation:
Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt email: [email protected] & [email protected]
A. Hady
Affiliation:
Department of Astronomy, Faculty of Science, Cairo University, Giza, Egypt
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Abstract

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In this paper, we apply the general theory of Arnold (1965, 1966) and Moffatt et al. (1997). We search sufficient conditions for the linear stability of steady three-dimensional incompressible gravitating flows in ideal magnetohydrodynamics (MHD). The results suggest that the solar and the stellar convection zones must be sensitive to the density stratification.

Keywords

magnetohydrodynamicsgravitating fluidstabilitystars: interiorssun: interior
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 2 , Symposium S233: Solar Activity and its Magnetic Origin , March 2006 , pp. 136 - 137
Copyright
© 2006 International Astronomical Union