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A simple model of magnetic fields associated with outflow from a source; New orthogonal polynomials
Outflow from a young star might be regarded as approximately equivalent to flow from a point source. If the fluid consists of charged particles, then the magnetic fields produced are governed by Faraday's law. This simple first approximation yields a linear partial differential equation in spherical polar coordinates, and its solution may be represented as the product of a Legendre polynomial with some function of the radial coordinate. This radial function is shown to involve orthogonal polynomials. Their properties are investigated and recurrence formulae for them are derived. Some of the magnetic fields generated by this simple model are illustrated.
History
Publication title
European Journal of Applied MathematicsVolume
27Issue
4Pagination
686-698ISSN
0956-7925Department/School
School of Natural SciencesPublisher
Cambridge University PressPlace of publication
UKRights statement
Copyright 2015 Cambridge University PressRepository Status
- Restricted