Desjardins, B.; Dormy, E.; Grenier, E. Stability of mixed Ekman-Hartmann boundary layers. (English) Zbl 0939.35151 Nonlinearity 12, No. 2, 181-199 (1999). 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. Cited in 2 ReviewsCited in 22 Documents 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 Keywords:Earth’s core; dynamo process; nonlinear stability of Ekman-Hartmann-type boundary layers PDFBibTeX XMLCite \textit{B. Desjardins} et al., Nonlinearity 12, No. 2, 181--199 (1999; Zbl 0939.35151) Full Text: DOI Link