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首页> 外文期刊>St. Petersburg mathematical journal >ON THE PROBLEM OF TIME-HARMONIC WATER WAVES IN THE PRESENCE OF A FREELY FLOATING STRUCTURE
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ON THE PROBLEM OF TIME-HARMONIC WATER WAVES IN THE PRESENCE OF A FREELY FLOATING STRUCTURE

机译：自由浮动结构存在下的时谐水波问题

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摘要

The two-dimensional problem of time-harmonic water waves in the pres-ence of a freely floating structure (it consists of a finite number of infinitely long surface-piercing cylinders connected above the water surface) is considered. The coupled spectral boundary value problem modeling the small-amplitude motion of this mechanical system involves the spectral parameter, the frequency of oscillations, which appears in the boundary conditions as well as in the equations governing the structure's motion. It is proved that any value of the frequency turns out to be an eigenvalue of the problem for a particular structure obtained with the help of the so-called inverse procedure.
机译：考虑了在自由浮动结构（它由在水面上方连接的有限数量的无限长的穿刺圆柱体组成）的存在下的时谐水波的二维问题。对该机械系统的小振幅运动进行建模的耦合光谱边界值问题涉及光谱参数，振荡频率，该参数出现在边界条件以及控制结构运动的方程式中。事实证明，对于借助所谓的逆过程获得的特定结构，频率的任何值都将成为问题的特征值。

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