Anca-Voichita Matioc
On Particle Trajectories in Linear Water Waves
Preprint series: ESI preprints

MSC:

76B15 Water waves, gravity waves; dispersion and diffraction, nonlinear interaction, See also {35Q53}

34C25 Periodic solutions

35Q35 Other equations arising in fluid mechanics

Abstract: We determine the phase portrait of a Hamiltonian system of equations describing
the motion of the particles in linear water waves.
The particles experience in each period a forward drift which is minimal on the flat bed.


Keywords: linear water waves, particle trajectory, phase portrait