13 citations · 51 across the 12 of their papers we have counts for
7 papers · 1 filter
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…
An improved upper bound for the Froude number of irrotational solitary water waves
Evgeniy Lokharu, Jörg Weber
A classical and central problem in the theory of water waves is to classify parameter regimes for which non-trivial solitary waves exist. In the two-dimensional, irrotational, pure…
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…
On the amplitude of steady water waves with positive constant vorticity
Evgeniy Lokharu, Erik Wahlén, Jörg Weber
For two-dimensional steady pure-gravity water waves with a unidirectional flow of constant favourable vorticity, we prove an explicit bound on the amplitude of the wave, which deca…
Large-amplitude steady gravity water waves with general vorticity and critical layers
Erik Wahlén, Jörg Weber
We consider two-dimensional steady periodic gravity waves on water of finite depth with a prescribed but arbitrary vorticity distribution. The water surface is allowed to be overha…
Bifurcation analysis for axisymmetric capillary water waves with vorticity and swirl
André Erhardt, Erik Wahlén, Jörg Weber
We study steady axisymmetric water waves with general vorticity and swirl, subject to the influence of surface tension. This can be formulated as an elliptic free boundary problem…
Global bifurcation of capillary-gravity water waves with overhanging profiles and arbitrary vorticity
Erik Wahlén, Jörg Weber
We study two-dimensional periodic capillary-gravity water waves propagating at the free surface of water in a flow with arbitrary, prescribed vorticity over a flat bed. Using confo…