Mass transport for Pollard waves

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Mass transport for Pollard waves

Kluczek, Mateusz; Stuhlmeier, Raphael
Date: 2020-06-19
Copyright: © 2020, Informa UK Limited, trading as Taylor & Francis Group. All rights reserved. This is an Accepted Manuscript of an item published by Taylor & Francis in Applicable Analysis on 19 June 2020, available online: https://doi.org/10.1080/00036811.2020.1766029
Full text restriction information: Access to this article is restricted until 12 months after publication by request of the publisher.
Restriction lift date: 2021-06-19
Citation: Kluczek, M. and Stuhlmeier, R. (2020) 'Mass transport for Pollard waves', Applicable Analysis. doi: 10.1080/00036811.2020.1766029
Published Version: 10.1080/00036811.2020.1766029

Abstract:

We provide an in-depth exploration of the mass-transport properties of Pollard's exact solution for a zonally propagating surface water-wave in infinite depth. Without resorting to approximations we discuss the Eulerian mass transport of this fully nonlinear, Lagrangian solution. We show that it has many commonalities with the linear, Eulerian wave-theory, and also find Pollard-like solutions in the first and second order Lagrangian theory.

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