University of Tasmania
Browse

File(s) under permanent embargo

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

journal contribution
posted on 2023-05-18, 21:27 authored by Lawrence ForbesLawrence Forbes
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 Mathematics

Volume

27

Issue

4

Pagination

686-698

ISSN

0956-7925

Department/School

School of Natural Sciences

Publisher

Cambridge University Press

Place of publication

UK

Rights statement

Copyright 2015 Cambridge University Press

Repository Status

  • Restricted

Socio-economic Objectives

Expanding knowledge in the physical sciences

Usage metrics

    University Of Tasmania

    Exports

    RefWorks
    BibTeX
    Ref. manager
    Endnote
    DataCite
    NLM
    DC