2022
DOI: 10.48550/arxiv.2202.01754
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Bifurcation analysis for axisymmetric capillary water waves with vorticity and swirl

Abstract: 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 in terms of Stokes' stream function. A change of variables allows us to overcome the generic coordinateinduced singularities and to cast the problem in the form "identity plus compact", which is amenable to Rabinowitz' global bifurcation theorem, while no restrictions regarding the absence of stagnation points in the flow have to be … Show more

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