3 papers
math.AP2021
Traveling water waves -- the ebb and flow of two centuries
Susanna V. Haziot, Vera Mikyoung Hur, Walter Strauss +4
This survey covers the mathematical theory of steady water waves with an emphasis on topics that are at the forefront of current research. These areas include: variational characte…
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…