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

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Abstract

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

Original languageEnglish
Pages (from-to)1-26
Number of pages26
JournalDifferential and Integral Equations
Volume31
Issue number1-2
Publication statusPublished - 1 Jan 2018

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