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Problems involved in elimination of both the singularity in the solution of nonlinear equation of motion on the rotation axis and the unbalance caused by convective heat transfer

Published online by Cambridge University Press:  14 March 2005

Yu. V. Vandakurov
Affiliation:
A. F. Ioffe Physicotechnical Institute, Russian Academy of Sciences, St. Petersburg, 194021 Russia, email: yv.mhd@mail.ioffe.ru
E. M. Sklyarova
Affiliation:
A. F. Ioffe Physicotechnical Institute, Russian Academy of Sciences, St. Petersburg, 194021 Russia, email: yv.mhd@mail.ioffe.ru
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We are considering below some complex problems which arise in theoretical description of the processes developing in convective zones of rotating stars. It is common knowledge that the solutions of the starting nonlinear equations of equilibrium or motion may have singularities at the rotation axis, whose elimination in the case of equations of an even more general nature including spins was treated in quantum mechanics by invoking a numerical procedure (see, e.g., Varshalovich et al. (1988)). If spin effects are disregarded, these equations, which describe general representations of conventional and Alfven velocities as expansions in orthogonal vector spherical harmonics can be cast in an analytical form Vandakurov (1999).To search for other articles by the author(s) go to: http://adsabs.harvard.edu/abstract_service.html

Type
Contributed Papers
Copyright
© 2004 International Astronomical Union