### 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.

Original language | English |
---|---|

Article number | 20170345 |

Pages (from-to) | 1-14 |

Number of pages | 14 |

Journal | Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences |

Volume | 376 |

Issue number | 2129 |

Early online date | 20 Aug 2018 |

DOIs | |

Publication status | Published - 28 Sep 2018 |

### Fingerprint

### Keywords

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

### ASJC Scopus subject areas

- Mathematics(all)
- Engineering(all)
- Physics and Astronomy(all)

### Cite this

*Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences*,

*376*(2129), 1-14. [20170345]. https://doi.org/10.1098/rsta.2017.0345

**Solitary flexural-gravity waves in three dimensions.** / Trichtchenko, Olga; Părău, Emilian I.; Vanden-Broeck, Jean Marc; Milewski, Paul.

Research output: Contribution to journal › Article

*Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences*, vol. 376, no. 2129, 20170345, pp. 1-14. https://doi.org/10.1098/rsta.2017.0345

}

TY - JOUR

T1 - Solitary flexural-gravity waves in three dimensions

AU - Trichtchenko, Olga

AU - Părău, Emilian I.

AU - Vanden-Broeck, Jean Marc

AU - Milewski, Paul

N1 - © 2018 The Authors.

PY - 2018/9/28

Y1 - 2018/9/28

N2 - 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.

AB - 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.

KW - Boundary integral method

KW - Flexural-gravity waves

KW - Solitary waves

UR - http://www.scopus.com/inward/record.url?scp=85052543112&partnerID=8YFLogxK

U2 - 10.1098/rsta.2017.0345

DO - 10.1098/rsta.2017.0345

M3 - Article

C2 - 30126916

AN - SCOPUS:85052543112

VL - 376

SP - 1

EP - 14

JO - Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences

JF - Proceedings of the Royal Society A: Mathematical Physical and Engineering Sciences

SN - 1364-503X

IS - 2129

M1 - 20170345

ER -