Abstract
Spin-dynamics equations, approximated in the hydrodynamic limit \ensuremath{\omega}\ensuremath{\tau}\ensuremath{\ll}1, including relaxation and depairing effects, are studied. It is shown that a static magnetic field stabilizes the longitudinal geometry, and a threshold condition for the instability against transverse fluctuations is obtained. The field dependence of the longitudinal NMR frequency is derived. A new low-frequency transverse mode is also found.
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