Computer Science
Scientific paper
Sep 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988maggi.......13b&link_type=abstract
Magnitnaia Gidrodinamika (ISSN 0025-0015), July-Sept. 1988, p. 13-18. In Russian.
Computer Science
Conducting Fluids, Magnetohydrodynamics, Rotating Plasmas, Spheres, Amplitudes, Angular Velocity, Eigenvalues, Toroids
Scientific paper
A solution is presented for the problem of the eigenvalues and eigenfunctions of a magnetic field decreasing at infinity for a spherically symmetric rotating conducting region. Under conditions of continuously distributed differential rotation, a nonaxisymmetric magnetic field is completely displaced from the rotating region in the limit of strong rotation. However, when changes in the angular rotation velocity are concentrated near a certain radius, the eigenfunctions are divided into two groups: internal (localized inside the rotating region) and external. Thus, under conditions of concentrated differential rotation, there is always a magnetic field in the rotating region. The magnetic basis proposed here is important for stellar and planetary dynamo models.
Brodskii Iu. A.
Krasheninnikova Iu. S.
Ruzmaikin Aleksandr
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