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We prove that for a large class of vorticity functions the crests of any corresponding traveling gravity water wave of finite depth are necessarily points of maximal horizontal velocity. We also show that for waves with nonpositive vorticity the pressure everywhere in the fluid is larger than the atmospheric pressure. A related a priori estimate for waves with nonnegative vorticity is also given

Publisher: Society for Industrial and Applied Mathematics

Year: 2008

OAI identifier:
oai:centaur.reading.ac.uk:17523

Provided by:
Central Archive at the University of Reading

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http://centaur.reading.ac.uk/17523/1/EVarvarucaSIAM.pdf

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