most citedExistence of two-dimensional deep capillary solitary water waves with constant vorticity

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math.AP2024★ 1 cited

Existence of two-dimensional deep capillary solitary water waves with constant vorticity

James Rowan, Lizhe Wan

We consider two-dimensional capillary water waves with nonzero constant vorticity in infinite depth. We first derive the Babenko equation that describes the profile of the solitary…

math.AP2023★ 1 cited

Two dimensional solitary water waves with constant vorticity, Part I: the deep gravity case

James Rowan, Lizhe Wan

We consider the two dimensional pure gravity water waves with nonzero constant vorticity in infinite depth, working in the holomorphic coordinates introduced by Hunter, Ifrim, and…