3 papers
math.AP2025
Rigidity of symmetric doubly-periodic water waves near shear flows
Douglas Svensson Seth, Kristoffer Varholm, Erik Wahlén +1
We prove that symmetric, doubly periodic, capillary-gravity water waves in finite depth bifurcating from non-uniform non-stagnant shear flows are necessarily two-dimensional to lea…
math.AP2019
Global bifurcation of waves with multiple critical layers
Kristoffer Varholm
Analytic global bifurcation theory is used to construct a large variety of families of steady periodic two-dimensional gravity water waves with real-analytic vorticity distribution…
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…