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math.AP2024★ 1 cited
Two-dimensional solitary water waves with constant vorticity, Part II: the deep capillary case
James Rowan, Lizhe Wan
We consider the two-dimensional capillary water waves with nonzero constant vorticity in infinite depth. We first derive the Babenko equation that describes the profile of the soli…
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…