Trichtchenko, Olga, Părău, Emilian I., Vanden-Broeck, Jean-Marc and Milewski, Paul (2018) Solitary flexural–gravity waves in three dimensions. Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 376. ISSN 1364-503X

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Abstract

The focus of this work is on three-dimensional nonlinear flexural–gravity waves, propagating at the interface between a fluid and an ice sheet. The ice sheet is modelled using the special Cosserat theory of hyperelastic shells satisfying Kirchhoff's hypothesis, presented in (Plotnikov & Toland. 2011 Phil. Trans. R. Soc. A 369, 2942–2956 (doi:10.1098/rsta.2011.0104)). The fluid is assumed inviscid and incompressible, and the flow irrotational. A numerical method based on boundary integral equation techniques is used to compute solitary waves and forced waves to Euler's equations. This article is part of the theme issue ‘Modelling of sea-ice phenomena’.

Item Type:	Article
Uncontrolled Keywords:	solitary waves,flexural-gravity waves
Faculty \ School:	Faculty of Science > School of Mathematics
Depositing User:	LivePure Connector
Date Deposited:	21 Jun 2018 13:30
Last Modified:	14 Sep 2020 23:45
URI:	https://ueaeprints.uea.ac.uk/id/eprint/67424
DOI:	10.1098/rsta.2017.0345

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