title: Particle trajectories in linear periodic capillary and capillary-gravity water waves.
abstract: Surface tension plays a significant role as a restoration force in the setting of small-amplitude waves, leading to pure capillary and gravity-capillary waves. We show that within the framework of linear theory, the particle paths in a periodic gravity-capillary or pure capillary wave propagating at the surface of water over a flat bed are not closed.
authors.affiliation: School of Mathematics, Trinity College Dublin, Dublin 2, Ireland. hendavid@maths.tcd.ie
authors.forename: David
authors.initials: D
authors.lastname: Henry