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math.AP2022★ 4 cited
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…
math.AP2022★ 8 cited
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…
math.AP2022★ 5 cited
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…