Dispersion relations for steady periodic water waves with an isolated layer of vorticity at the surface

David Henry

doi:10.1016/j.nonrwa.2012.08.015

Dispersion relations for steady periodic water waves with an isolated layer of vorticity at the surface

David Henry

University of Vienna

Research output: Contribution to journal › Article › peer-review

Abstract

In this article we obtain the dispersion relation for small-amplitude steady periodic water waves, which propagate over a flat bed with a specified and fixed mean depth, and where the underlying flow has a discontinuous vorticity distribution. This discontinuity takes the form of an isolated layer of constant non-zero vorticity at the surface of the flow, with purely irrotational flow beneath this layer.

Original language	English
Pages (from-to)	1034-1043
Number of pages	10
Journal	Nonlinear Analysis: Real World Applications
Volume	14
Issue number	2
DOIs	https://doi.org/10.1016/j.nonrwa.2012.08.015
Publication status	Published - Apr 2013
Externally published	Yes

Keywords

Discontinuous vorticity
Dispersion relation
Steady water waves

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10.1016/j.nonrwa.2012.08.015

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abstract = "In this article we obtain the dispersion relation for small-amplitude steady periodic water waves, which propagate over a flat bed with a specified and fixed mean depth, and where the underlying flow has a discontinuous vorticity distribution. This discontinuity takes the form of an isolated layer of constant non-zero vorticity at the surface of the flow, with purely irrotational flow beneath this layer.",

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AB - In this article we obtain the dispersion relation for small-amplitude steady periodic water waves, which propagate over a flat bed with a specified and fixed mean depth, and where the underlying flow has a discontinuous vorticity distribution. This discontinuity takes the form of an isolated layer of constant non-zero vorticity at the surface of the flow, with purely irrotational flow beneath this layer.

KW - Discontinuous vorticity

KW - Dispersion relation

KW - Steady water waves

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DO - 10.1016/j.nonrwa.2012.08.015

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JO - Nonlinear Analysis: Real World Applications

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IS - 2

ER -

Dispersion relations for steady periodic water waves with an isolated layer of vorticity at the surface

Abstract

Keywords

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