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arXiv · 1503.06143

Solitary gravity-capillary water waves with point vortices

Kristoffer Varholm
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Abstract

We construct small-amplitude solitary traveling gravity-capillary water waves with a finite number of point vortices along a vertical line, on finite depth. This is done using a local bifurcation argument. The properties of the resulting waves are also examined: We find that they depend significantly on the position of the point vortices in the water column.

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Kristoffer Varholm. 2015-03-20. Solitary gravity-capillary water waves with point vortices. https://doi.org/10.3934/dcds.2016.36.3927

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