Dispersion relation for water waves with non-constant vorticity

Details Dispersion relation for water waves with non-constant vorticity Dispersion relation for water waves with non-constant vorticity

2012-01-08

arxiv.org/abs/1201.1626v1

Physics

Fluid Dynamics

Scientific paper

We derive the dispersion relation for linearized small-amplitude gravity
waves for various choices of non-constant vorticity. To the best of our
knowledge, this relation is only known explicitly in the case of constant
vorticity. We provide a wide range of examples including polynomial,
exponential, trigonometric and hyperbolic vorticity functions.

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