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Limiting behavior of a certain class of MHD flows in a strong magnetic field

Ch. Hartmann , E. Sanchez-Palencia

A rigorous mathematical proof is presented for the fact that in a planar and axially symmetrical stationary MHD flow, as Ha→∞ and at arbitrary Re = const, all the solutions of the boundary-value problem (of which there can be several) tend to a unique solution of a limiting problem, which is a degenerate Stokes problem. The analysis is based on the concept of a generalized solution and on functional-analysis methods.

Magnitnaya Gidrodinamika 9, No. 1, 3-11, 1973 [PDF] (in Russian)
Magnetohydrodynamics 9, No. 1, 1-8, 1973 [PDF, 0.45 Mb]

Copyright: Institute of Physics, University of Latvia
Electronic edition ISSN 1574-0579
Printed edition ISSN 0024-998X