On some properties of traveling water waves with vorticity

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 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
URI	https://reading-clone.eprints-hosting.org/id/eprint/17523
Identification Number/DOI	10.1137/070697513
Refereed	Yes
Divisions	Science > School of Mathematical, Physical and Computational Sciences > Department of Mathematics and Statistics
Publisher	Society for Industrial and Applied Mathematics
Publisher Statement	© 2008 Society for Industrial and Applied Mathematics
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