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arxiv: 1505.02502 · v1 · pith:BCWFBUD6new · submitted 2015-05-11 · 🧮 math.AP

Recovery of Stokes waves from velocity measurements on an axis of symmetry

classification 🧮 math.AP
keywords wavesaxismeasurementsstokessymmetryvelocityalthoughcomponent
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We provide a new method to recover the profile of Stokes waves, and more generally of waves with smooth vorticity, from measurements of the horizontal velocity component on a vertical axis of symmetry of the wave surface. Although we consider periodic waves only, the extension to solitary waves is straightforward.

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