INDEX
acoustic wave, 6
anisotropy, 2, 94, 99, 150, 206
Ansatz, 158
Bernstein inequality, 26
β effect, 3
Bienaim´e–Tchebychev, 24
boundary layer, 8–11, 158
convexity inequality, 26
Coriolis
force, 1, 3, 226
operator, 104, 118, 121
system, 5, 7
dispersion, 87–93, 204
law, 5
Ekman
layer, 8, 9, 219
number, 159, 229
operator, 192
pumping, 9, 230
spiral, 9, 221
suction, 9, 10, 236
filtered solution, 121
filtering operator, 156
Gagliardo–Nirenberg inequality, 25
Hartmann
layer, 226
number, 226
Hopf bifurcation, 225
horizontal, 4 +
ill prepared, 8, 147, 175–215
incompressible
Euler, 5
fluid, 4
limit, 6, 92
Navier–Stokes, 42
Navier-Stokes, 5
Navier–Stokes–Coriolis, 100
Stokes, 33
inertial wave, see Poincar´e, wave
interior solution, 159
Leray
projector, 19
solution, 43
Theorem, 42–52
limit system, 125
Lorenz force, 226
Mach number, 1, 6, 92
magnetohydrodynamics, 226
Minkowski, 69
Ohm law, 226
oscillating part, 123
periodic box, 117
admissible, 144
Poincar´e
group, 7, 192
inequality, 18
wave, 5, 7
polar space, 18
Prandtl equation, 229
quasigeostrophic limit, 227
Rellich, 27
resonance, 7
resonant set, 124
Reynolds number, 11, 221
scaling, 73
Schr¨odinger equation, 88