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Green's functions of the induction equation on regions with boundary. III. Half‐space
Author(s) -
BrÄuer H.J.,
RÄdler K.H.
Publication year - 1988
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.2113090102
Subject(s) - green s , physics , boundary value problem , space (punctuation) , classical mechanics , perfect fluid , motion (physics) , fluid dynamics , mathematical analysis , flow (mathematics) , equations of motion , mechanics , mathematics , philosophy , linguistics
In two earlier papers (BRÄUER and RÄDLER 1986, 1987) the evolution of a magnetic field was considered which pervades an electrically conducting fluid and its non‐conducting surroundings. A construction principle for Green's functions of the corresponding initial value problem was proposed, and worked out for the case in which the fluid fills a spherical region. Now the principle is applied to the case of a fluid body occupying a half‐space. Green's functions are constructed for arbitrary motions of the fluid. More concrete results are derived for shear flow, and explicit expressions of Green's functions are given for rigid body motion.