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A simple model of magnetic fields associated with outflow from a source; New orthogonal polynomials

Citation

Forbes, LK, A simple model of magnetic fields associated with outflow from a source; New orthogonal polynomials, European Journal of Applied Mathematics, 27, (4) pp. 686-698. ISSN 0956-7925 (2016) [Refereed Article]

Copyright Statement

Copyright 2015 Cambridge University Press

DOI: doi:10.1017/S0956792515000637

Abstract

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.

Item Details

Item Type:Refereed Article
Keywords:asymptotic methods, magnetohydrodynamics, orthogonal polynomials
Research Division:Physical Sciences
Research Group:Astronomical and Space Sciences
Research Field:Stellar Astronomy and Planetary Systems
Objective Division:Expanding Knowledge
Objective Group:Expanding Knowledge
Objective Field:Expanding Knowledge in the Physical Sciences
Author:Forbes, LK (Professor Larry Forbes)
ID Code:110671
Year Published:2016 (online first 2015)
Deposited By:Mathematics and Physics
Deposited On:2016-08-09
Last Modified:2017-11-01
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