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Title: Nonlinear flexural-gravity free-surface flows and related gravity-capillary flows
Author: Gao, T.
ISNI:       0000 0004 8504 0705
Awarding Body: UCL (University College London)
Current Institution: University College London (University of London)
Date of Award: 2016
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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.
Supervisor: Vanden-Broeck, Jean-Marc Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available