Gao, T;
(2016)
Nonlinear flexural-gravity free-surface flows and related gravity-capillary flows.
Doctoral thesis , UCL (University College London).
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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 UCL > Provost and Vice Provost Offices UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery.ucl.ac.uk/id/eprint/1498589 |
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