Steady periodic water waves bifurcating for fixed-depth rotational flows with discontinuous vorticity

Published 13 Sep 2024 in math.AP | (2409.08730v1)

Abstract: In this article we apply local bifurcation theory to prove the existence of small-amplitude steady periodic water waves, which propagate over a flat bed with a specified fixed mean-depth, and where the underlying flow has a discontinuous vorticity distribution.

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