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
To link to this article DOI: 10.1137/070697513
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.