Trimodal Steady Water Waves

被引：0
作者：
Mats Ehrnström
Erik Wahlén
机构：
[1] Norwegian University of Science and Technology,Department of Mathematical Sciences
[2] Lund University,Centre for Mathematical Sciences
来源：
Archive for Rational Mechanics and Analysis | 2015年 / 216卷
关键词：
Vorticity; Water Wave; Implicit Function Theorem; Critical Layer; Vorticity Distribution;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We construct three-dimensional families of small-amplitude gravity-driven rotational steady water waves of finite depth. The solutions contain counter-currents and multiple crests in each minimal period. Each such wave is, generically, a combination of three different Fourier modes, giving rise to a rich and complex variety of wave patterns. The bifurcation argument is based on a blow-up technique, taking advantage of three parameters associated with the vorticity distribution, the strength of the background stream, and the period of the wave.
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页码：449 / 471
页数：22
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