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Trapping and instability of directional gravity waves in localized water currents

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Figure

FIG. 1: A localized water current with velocity vc(y) opposite to the wave direction, leading to the bending of the wavefrontsand an accumulation of water waves in the channel.
FIG. 2: The wave intensity for different amplitudes and signs of the water current flowing in the x-direction, given by vc(y) =vc0 exp(−y2/L2)
FIG. 3: The maximum wave intensity as a function of time. The labels b)–f) refer to the different cases in Fig

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