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Nonlinear flexural-gravity free-surface flows and related gravity-capillary flows

Gao, T; (2016) Nonlinear flexural-gravity free-surface flows and related gravity-capillary flows. Doctoral thesis , UCL (University College London). Green open access

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Abstract

The thesis is mainly concerned with linear and nonlinear water waves travelling beneath an elastic sheet. Such waves are known as exural-gravity waves. The basic mathematical formulation is introduced in Chapter 2 . Several numerical methods are presented in Chapter 3 . Related problems involving gravity-capillary waves are also considered. Nonlinear periodic waves are studied in Chapter 4 by analytical and numerical methods. The extension to generalised solitary waves is also presented in that chapter. The problem of two-dimensional exural-gravity waves generated by a moving disturbance is considered in Chapter 5 . Solitary waves in deep water are computed in Chapter 6 . A new kind of asymmetric solitary waves is presented. We carry out a numerical study of the dynamics and the stability of the free-surface flows in Chapter 7 . The problem of gravity-capillary waves is revisited in Section 4.5 and Chapter 8 and new non-symmetric periodic waves are discovered.

Type: Thesis (Doctoral)
Title: Nonlinear flexural-gravity free-surface flows and related gravity-capillary flows
Event: University College London
Open access status: An open access version is available from UCL Discovery
Language: English
UCL classification: UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Maths and Physical Sciences
URI: http://discovery.ucl.ac.uk/id/eprint/1498589
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