Journal of Nonlinear Mathematical Physics · 2008 · 145 citations · 30 references
Natural SciencesEarth SciencesOceanographyHydraulicsOcean WavesPhysical OceanographyNearshore HydrodynamicsWave BreakingWave DispersionWave InteractionWave RefractionWave ShoalingWater Wave TurbulenceWave SteepnessWave Theory
We present a simple approach showing that Gerstner’s flow is dynamically possible: each particle moves on a circle, but the particles never collide and fill out the entire region below the surface wave.
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The trajectories of particles in Stokes waves
Adrian Constantin · Inventiones mathematicae · 2006 · 754 citations