On the time-evolution of resonant triads in rotational capillary-gravity water waves
On the time-evolution of resonant triads in rotational capillary-gravity water waves
复制标题
旋转毛细重力水波中共振三重奏的时间演化
DOI：
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发表时间：
2019
期刊：
影响因子：
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通讯作者：
Calin Iulian Martin
中科院分区：
文献类型：
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作者：
R. Ivanov;Calin Iulian Martin
我们研究了旋转水流自由表面产生的毛细重力表面波单向传播情况下共振相互作用的影响。具体来说，我们假设恒定的涡量在身体的流体，物理上对应于一个基本的电流与线性水平速度剖面。我们考虑三个不同模式的相互作用，我们得到的动力学方程的共振三波。在定常涡量为零的条件下，我们恢复了已知的可积三波系统，并研究了旋转水流自由表面上毛细重力表面波单向传播时共振相互作用的影响。具体来说，我们假设恒定的涡量在身体的流体，物理上对应于一个基本的电流与线性水平速度剖面。我们考虑三个不同模式的相互作用，我们得到的动力学方程的共振三波。设常涡度为零，我们恢复了著名的可积三波系统。
We investigate an effect of the resonant interaction in the case of one-directional propagation of capillary-gravity surface waves arising as the free surface of a rotational water flow. Specifically, we assume constant vorticity in the body of the fluid which physically corresponds to an underlying current with a linear horizontal velocity profile. We consider the interaction of three distinct modes, and we obtain the dynamic equations for a resonant triad. Setting the constant vorticity equal to zero, we recover the well known integrable three-wave system.We investigate an effect of the resonant interaction in the case of one-directional propagation of capillary-gravity surface waves arising as the free surface of a rotational water flow. Specifically, we assume constant vorticity in the body of the fluid which physically corresponds to an underlying current with a linear horizontal velocity profile. We consider the interaction of three distinct modes, and we obtain the dynamic equations for a resonant triad. Setting the constant vorticity equal to zero, we recover the well known integrable three-wave system.