On some properties of traveling water waves with vorticity

被引：28
|
作者：
Varvaruca, Eugen [1 ]
机构：
[1] Univ Bath, Dept Math Sci, Bath BA2 7AY, Avon, England
来源：
SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2008年 / 39卷 / 05期
关键词：
water waves; vorticity; maximum principle;
D O I：
10.1137/070697513
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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.
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页码：1686 / 1692
页数：7
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