有限振幅水面波の長波長極限における共鳴不安定性(対流・拡散・渦・波動波動(4),一般講演)

概要

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Resonant instability of finite-amplitude surface periodic waves in the long-wave limit is investigated. Two kinds of resonances are found. The first one is associated with the oscillation of a distorted solitary wave which is a long-wave limit of the periodic wave. A resonance between such a distorted long wave and a disturbance leads to four resonance lines on a parameter plane (k, l), where k and l are the wavenumbers of a disturbance in the longitudinal and transverse directions, respectively. A disturbance on the two smaller-gradient lines induces instability, while that on the remaining two does not. The second one is a resonance between two linear disturbances. The corresponding resonance curves are given by ellipses on the parameter plane (k, l).
日本流体力学会の論文
2009-09-02