On the spectrum of some singular equations in magnetohydrodynamics

Details On the spectrum of some singular equations in magnetohydrodynamics On the spectrum of some singular equations in magnetohydrodynamics

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985ap%26ss.114..249a&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 114, no. 2, Sept. 1985, p. 249-258.

Statistics

Computation

3

Differential Equations, Magnetohydrodynamics, Mathematical Models, Singular Integral Equations, Boundary Layer Flow, Boundary Value Problems, Boussinesq Approximation, Computational Astrophysics, Eigenvalues, Equations Of Motion, Plasma Physics

Scientific paper

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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