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Exact solutions to the Grad-Shafranov equation for magnetically confined plasmas

Published online by Cambridge University Press:  01 November 2006

A. H. Khater  and
S. M. Moawad
A. H. Khater
Affiliation:
Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt email: [email protected] & [email protected]
S. M. Moawad
Affiliation:
Department of Mathematics, Faculty of Science, Beni-Suef University, Beni-Suef, Egypt email: [email protected] & [email protected]
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Abstract

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A class of exact analytic solutions to the Grad-Shafranov equation (GSE), in cylindrical geometry under assumption of axial symmetry is obtained. For this configuration all the physical quantities are invariant under rotations about a fixed direction, which we take it to be the direction Oz of a cylindrical polar coordinate system $(r, \theta, z)$. The obtained solutions can be employed to describe isothermal magnetostatic atmosphere.

Keywords

Exact solutionsGrad-Shafranov equationmagnetostatic atmosphere
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 2 , Symposium S233: Solar Activity and its Magnetic Origin , March 2006 , pp. 307 - 308
Copyright
© 2006 International Astronomical Union