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arXiv:0707.2221 [math.AP]AbstractReferencesReviewsResources

On some properties of travelling water waves with vorticity

Eugen Varvaruca

Published 2007-07-15Version 1

We prove that for a large class of vorticity functions the crest of a corresponding travelling water wave is necessarily a point of maximal horizontal velocity. We also show that for waves with nonpositive vorticity the pressure in the flow is everywhere larger than the atmospheric pressure. A related a priori estimate for waves with nonnegative vorticity is also given.

Journal: SIAM J. Math. Anal., 39 (2008), 1686-1692
Categories: math.AP
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