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.AP2024
Symmetric doubly periodic gravity-capillary waves with small vorticity
Douglas Svensson Seth, Kristoffer Varholm, Erik Wahlén
We construct small amplitude gravity-capillary water waves with small nonzero vorticity, in three spatial dimensions, bifurcating from uniform flows. The waves are symmetric, and p…
math.AP2024
Vortex-carrying solitary gravity waves of large amplitude
Robin Ming Chen, Kristoffer Varholm, Samuel Walsh +1
In this paper, we study two-dimensional traveling waves in finite-depth water that are acted upon solely by gravity. We prove that, for any supercritical Froude number (non-dimensi…