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Title: Dispersion relation for water waves with non-constant vorticity
Author's Homepage:
Keywords: Fluid Mechanics
Dispersion relation
Water waves
Non-constant vorticity
Issue Date: 2012
Citation: Paschalis Karageorgis, Dispersion relation for water waves with non-constant vorticity, European Journal of Mechanics - B/Fluids, 34, 2012, 7 - 12
Series/Report no.: European Journal of Mechanics - B/Fluids
Abstract: 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.
Description: IN_PRESS
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Appears in Collections:Pure & Applied Mathematics (Scholarly Publications)

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