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Particle trajectories in extreme Stokes waves over infinite depth

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  • We investigate the velocity field of fluid particles in an extreme water wave over infinite depth. It is shown that the trajectories of particles within the fluid and along the free surface do not form closed paths over the course of one period, but rather undergo a positive drift in the direction of wave propagation. In addition it is shown that the wave crest cannot form a stagnation point despite the velocity of the fluid particles being zero there.
    Mathematics Subject Classification: 76B15, 35B50, 35Q35.

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