期刊
IMA JOURNAL OF APPLIED MATHEMATICS
卷 77, 期 3, 页码 293-307出版社
OXFORD UNIV PRESS
DOI: 10.1093/imamat/hxs033
关键词
Euler equations; free boundary; weak solutions; maximum principles
资金
- ERC Advanced Grant 'Nonlinear studies of water flows with vorticity'
We give a qualitative description of the particle paths in extreme Stokes waves, showing that all particle paths are looping curves with a positive drift. We also prove that the wave crest is only an apparent stagnation point: although in the frame moving at the wave speed, the velocity field is zero at this point, a particle can never rest at this location.
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