Solitary flexural-gravity waves in three dimensions

Olga Trichtchenko, Emilian I. Părău, Jean Marc Vanden-Broeck, Paul Milewski

Research output: Contribution to journalArticlepeer-review

14 Citations (SciVal)


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.

Original languageEnglish
Article number20170345
Pages (from-to)1-14
Number of pages14
JournalPhilosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences
Issue number2129
Early online date20 Aug 2018
Publication statusPublished - 28 Sept 2018

Bibliographical note

© 2018 The Authors.


  • Boundary integral method
  • Flexural-gravity waves
  • Solitary waves

ASJC Scopus subject areas

  • General Mathematics
  • General Engineering
  • General Physics and Astronomy


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