On some properties of travelling water waves with vorticity

Details On some properties of travelling water waves with vorticity On some properties of travelling water waves with vorticity

2007-07-15

arxiv.org/abs/0707.2221v1

SIAM J. Math. Anal., 39 (2008), 1686-1692

Mathematics

Analysis of PDEs

Scientific paper

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.

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