Dispersion relations for rotational flows with exponential vorticity

Cao, Feng; Yu, Na; Zhang, Jiachao

doi:10.1090/proc/17200

Dispersion relations for rotational flows with exponential vorticity
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by Feng Cao, Na Yu and Jiachao Zhang;

Proc. Amer. Math. Soc. 153 (2025), 1595-1609

DOI: https://doi.org/10.1090/proc/17200

Published electronically: February 13, 2025

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Abstract:

The aim of this short paper is to study the dispersion relations for two-dimensional steady gravity water waves with piecewise exponential vorticity distributions, by assuming that the waves propagate over a flat bed and without stagnation points.

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