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.
|Number of pages||13|
|Journal||Discrete and Continuous Dynamical Systems- Series A|
|Publication status||Published - Aug 2014|
- Maximum principles
- Particle trajectory
- Stokes wave
- Weak solution