11 citations · 12 across the 6 of their papers we have counts for
7 papers
Global bifurcation of doubly periodic gravity-capillary waves on Beltrami flows
Bastian Hilder, Giang To, Erik Wahlén
We prove the existence of a global family of steady, doubly periodic gravity-capillary waves on Beltrami flows. This is the first rigorous existence result for genuinely three-dime…
Fully localised three-dimensional solitary water waves on Beltrami flows with strong surface tension
Mark D. Groves, Erik Wahlén
Fully localised three-dimensional solitary waves are steady water waves which are evanescent in every horizontal direction. This paper presents an existence theory for such waves u…
On the spectral stability of periodic capillary-gravity waves
Changzhen Sun, Erik Wahlén
In this paper, we investigate the spectral stability of periodic traveling waves in the two dimensional gravity-capillary water wave problem. We derive a stability criterion based…
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…
Axisymmetric capillary water waves with vorticity and swirl connecting to static unduloid configurations
Anna-Mariya Otsetova, Erik Wahlén, Jörg Weber
We study steady axisymmetric water waves with general vorticity and swirl, subject to the influence of surface tension. Explicit solutions to such a water wave problem are static c…
Analytical Study of a generalised Dirichlet-Neumann operator and application to three-dimensional water waves on Beltrami flows
Mark D. Groves, Dag Nilsson, Stefano Pasquali +1
In this paper we consider three-dimensional steady water waves with vorticity, under the action of gravity and surface tension; in particular we consider so-called Beltrami flows,…
An existence theory for small-amplitude doubly periodic water waves with vorticity
Evgeniy Lokharu, Douglas Svensson Seth, Erik Wahlén
We prove the existence of three-dimensional steady gravity-capillary waves with vorticity on water of finite depth. The waves are periodic with respect to a given two-dimensional l…