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Magnetohydrodynamic stability of a compressible fluid layer below a vacum medium. (English) Zbl 1140.76010

Summary: An instability analysis of a compressible fluid layer acted by capillary, pressure gradient, external gravity and electromagnetic forces has been developed on the basis of linear perturbation technique. A general relation is derived and discussed analytically and numerically for all values of amplitude disturbances. This model has many applications in astronomy as the interface of an expanding supernova remnant and in geology during the geological drillings in the crust of the Earth.

MSC:

76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
76E20 Stability and instability of geophysical and astrophysical flows
76W05 Magnetohydrodynamics and electrohydrodynamics
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