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math.AP2018
On the stability of solitary water waves with a point vortex
Kristoffer Varholm, Erik Wahlén, Samuel Walsh
This paper investigates the stability of traveling wave solutions to the free boundary Euler equations with a submerged point vortex. We prove that sufficiently small-amplitude wav…
math-ph2018
A variational principle for three-dimensional water waves over Beltrami flows
Evgeniy Lokharu, Erik Wahlén
We consider steady three-dimensional gravity-capillary water waves with vorticity propagating on water of finite depth. We prove a variational principle for doubly periodic waves w…