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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…