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Fully localised three-dimensional solitary water waves on Beltrami flows with strong surface tension

Groves, Mark D. et al.
arXiv (All) · Papers
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analysis-of-pdespattern-formation-and-solitons
Fully localised three-dimensional solitary waves are steady water waves which are evanescent in every horizontal direction. This paper presents an existence theory for such waves under the assumptions that the relative vorticity and velocity fields are parallel (`Beltrami flows'), that the free surf
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