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Gerstner’s Water Wave and Mass Transport

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Abstract

We give a review of developments concerning the Gerstner wave solution to the incompressible water wave equations, including many recent contributions that have successfully extended the Gerstner wave theory to geophysical and stratified fluids. We also highlight aspects of the mass transport of Gerstner waves, which serves to contrast the Gerstner solution with linear and nonlinear irrotational theories.

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  1. Fakultät für Mathematik, Universität Wien, Nordbergstraße 15, 1090, Vienna, Austria

    Raphael Stuhlmeier

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  1. Raphael Stuhlmeier
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Correspondence to Raphael Stuhlmeier.

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Communicated by A. Constantin

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Stuhlmeier, R. Gerstner’s Water Wave and Mass Transport. J. Math. Fluid Mech. 17, 761–767 (2015). https://doi.org/10.1007/s00021-015-0219-4

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