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On some properties of traveling water waves with vorticity

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Varvaruca, 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

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To link to this article DOI: 10.1137/070697513

Abstract/Summary

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.

Item Type:Article
Refereed:Yes
Divisions:Faculty of Science > School of Mathematical and Physical Sciences > Department of Mathematics and Statistics
ID Code:17523
Publisher:Society for Industrial and Applied Mathematics
Publisher Statement:© 2008 Society for Industrial and Applied Mathematics

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