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Green's functions of the induction equation on regions with boundary. I. General properties and a construction principle

✍ Scribed by H.-J. Bräuer; K.-H. Rädler

Publisher
John Wiley and Sons
Year
1986
Tongue
English
Weight
693 KB
Volume
307
Category
Article
ISSN
0004-6337

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✦ Synopsis

Zentralinstitot fur Astrophysik der Akademie dcr Wisseiischaften der DDH (Iieceived 1986 January 2) Tlie evolution of a magnetic field is considered which pervades an electrically conducting fluid and its non-conducting surroundings under the influence of electromotive forces duc to internal motion and other causes. The governing equationsamong which the induction equation of magnetohydrodynamics is the most prominentpose an initial value problem for thc magnetic flux density. Properties of this initial value problem and of the solving Green's function are rcviewed and a general construction principle for the Green's function is given. Detailcd treatment of cases where tlic fluid occupies a sphcrc or an evcnly bounded half-space arc prescntcd in two subscqucnt papers 1.

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