Particle trajectories in linear periodic capillary and capillary–gravity water waves
Author:
- 13 March 2007
- journal article
- Published by The Royal Society in Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
- Vol. 365 (1858) , 2241-2251
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.Keywords
This publication has 17 references indexed in Scilit:
- Variational formulations for steady water waves with vorticityJournal of Fluid Mechanics, 2006
- Steady Periodic Capillary‐Gravity Waves with VorticitySIAM Journal on Mathematical Analysis, 2006
- Symmetry of steady deep-water waves with vorticityEuropean Journal of Applied Mathematics, 2004
- Exact steady periodic water waves with vorticityCommunications on Pure and Applied Mathematics, 2004
- Symmetry of steady periodic surface water waves with vorticityJournal of Fluid Mechanics, 2004
- Exact periodic traveling water waves with vorticityComptes Rendus Mathematique, 2002
- Edge waves along a sloping beachJournal of Physics A: General Physics, 2001
- On the deep water wave motionJournal of Physics A: General Physics, 2001
- Traveling Two and Three Dimensional Capillary Gravity Water WavesSIAM Journal on Mathematical Analysis, 2000
- Symmetry and the bifurcation of capillary-gravity wavesArchive for Rational Mechanics and Analysis, 1986