On some properties of traveling water waves with vorticityVarvaruca, E. (2008) On some properties of traveling water waves with vorticity. SIAM Journal on Mathematical Analysis (SIMA), 39 (5). pp. 1686-1692. ISSN 0036-1410
It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing. To link to this item DOI: 10.1137/070697513 Abstract/SummaryWe 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.
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