Stability of Mixed Ekman-Hartmann Boundary Layers
Benoit Desjardinsa, Emmanuel Dormyb, Emmanuel Greniera,c
a DMI ENS, 45 rue d'Ulm, F-75005 Paris, France
b IPGP, 4 place Jussieu, F-75252, Paris, France
c LAN, CNRS URA 189, Univ. Paris 6, Place Jussieu,
Paris, France
Nonlinearity, Vol. 12, Number 2, pp. 181-199
Abstract.
In this paper 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 caracteristics
is smaller than a critical value, the boundary layer is
nonlinearly stable.
It is shown that the normal componant of the magnetic field increases
the critical Reynolds number for instability.
AMS classification scheme numbers: 35Q35, 76U05, 76W05