On the spectrum of some singular equations in magnetohydrodynamics |
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| Authors: | John A Adam |
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| Institution: | (1) Department of Mathematical Sciences, Old Dominion University, Norfolk, Virginia, USA |
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| Abstract: | A class of singular differential equations that often occurs in problems in magnetohydrodynamics, plasma physics, and astrophysics is studied; first by means of the specific and fairly straightforward example of motions in a stratified magnetofluid, and secondly in terms of the nature of the eigenvalue spectrum for the more general class of problems. It is shown that in the absence of discontinuities in the basic profiles, the eigenvalue spectrum is real and continuous, and no discrete spectrum exists. Bounds are obtained on the location of the continuous spectrum. |
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