S. Blanco et al., Excitation of gravity modes in the parameter space of the tidal wind system (II): magnetic effects, REV MEX FIS, 46(5), 2000, pp. 446-452
The Navier-Stokes, continuity and energy balance equations including magnet
ic effects for an inviscid compressible fluid in the ionospheric F-region w
ere perturbed around the tidal phenomenological solution. We imposed adiaba
ticity and incompressibility to the perturbation. Our results satisfy the i
nternal gravity wave (IGW) dispersion relation. The stable and unstable reg
ions of these modes were derived as a function of two control parameters, t
he colatitude theta and the slow time evolution for tidal modes tau. These
regions were obtained for different values of the magnetic field intensity,
showing good agreement with observational data for the South Atlantic anom
aly. Our model predictions for other magnetic field intensities correspondi
ng to other latitude dependences need to be contrasted with new observation
al data. In addition we show for some hours and latitudes that, resonant in
teraction occurs between low frequency tidal waves and two high frequency g
ravity waves. In these regions, where tidal modes are linearly unstable, th
e gravity group velocity is modulated by a function of the tidal phase velo
city.