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arxiv: 1503.06143 · v2 · pith:E7GMVBPGnew · submitted 2015-03-20 · 🧮 math.AP · math-ph· math.MP

Solitary gravity-capillary water waves with point vortices

classification 🧮 math.AP math-phmath.MP
keywords pointvorticeswaterwavesfinitegravity-capillarysolitaryalong
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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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