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Stability of mixed Ekman-Hartmann boundary layers. (English) Zbl 0939.35151

Summary: We study the nonlinear stability of Ekman-Hartmann-type boundary layers in a rotating magnetohydrodynamics flow in a half-space and between two planes. We prove rigorously that if the Reynolds number defined on boundary-layer characteristics is smaller than a critical value, the boundary layer is nonlinearly stable. It is shown that the normal component of the magnetic field increases the critical Reynolds number for instability.

MSC:

35Q35 PDEs in connection with fluid mechanics
76E25 Stability and instability of magnetohydrodynamic and electrohydrodynamic flows
76U05 General theory of rotating fluids
76W05 Magnetohydrodynamics and electrohydrodynamics
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