11 citations · 28 across the 6 of their papers we have counts for
8 papers
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…
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…
On the precise cusped behaviour of extreme solutions to Whitham-type equations
Mats Ehrnström, Ola I. H. Mæhlen, Kristoffer Varholm
We prove exact leading-order asymptotic behaviour at the origin for nontrivial solutions of two families of nonlocal equations. The equations investigated include those satisfied b…
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…
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…
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…
Traveling gravity water waves with critical layers
Ailo Aasen, Kristoffer Varholm
We establish the existence of small-amplitude uni- and bimodal steady periodic gravity waves with an affine vorticity distribution, using a bifurcation argument that differs slight…
Solitary gravity-capillary water waves with point vortices
Kristoffer Varholm
We construct small-amplitude solitary traveling gravity-capillary water waves with a finite number of point vortices along a vertical line, on finite depth. This is done using a lo…