The propagation of Alfvénic pulses into an inhomogeneous model of a coronal hole is investigated. It is demonstrated that the standard exponential damping of a harmonically generated wavetrain, due to phase mixing, is replaced by a slower algebraic damping when individual pulses are considered, suggesting that pulses will transport energy higher into the corona than a wavetrain. In addition, the initial shape of the pulse is rapidly transformed into a travelling Gaussian pulse. When two pulses of opposite sign travelling in the same direction are generated, the pulses diffuse into each other and the decay of the amplitude is faster, although still algebraic.
The temporal evolution of a solar prominence inserted in a three-dimensional magnetic flux rope is investigated numerically. Using the model of Titov & Démoulin under the regime of weak twist, the cold and dense prominence counteracts gravity by modifying the initially force-free magnetic configuration. In some cases a quasi-stationary situation is achieved after the relaxation phase, characterized by the excitation of standing vertical oscillations. These oscillations show a strong attenuation with time produced by the mechanism of continuum damping due to the inhomogeneous transition between the prominence and solar corona. The characteristic period of the vertical oscillations does not depend strongly on the twist of the flux rope. Nonlinearity is responsible for triggering the Kelvin–Helmholtz instability associated with the vertical oscillations and that eventually produces horizontal structures. Contrary to other configurations in which the longitudinal axis of the prominence is permeated by a perpendicular magnetic field, like in unsheared arcades, the orientation of the prominence along the flux rope axis prevents the development of Rayleigh–Taylor instabilities and therefore the appearance of vertical structuring along this axis.