Guan, Xin;
(2024)
Nonlinear interfacial waves in two/three-layer Euler flows.
Doctoral thesis (Ph.D), UCL (University College London).
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Abstract
In this thesis, we focus on two-dimensional interfacial waves in layered incompressible Euler flows. An unified numerical scheme based on Cauchy's integral formula is used to calculate fully nonlinear travelling waves. This method allows us to obtain almost singular solutions, known as limiting configurations. We also study their bifurcation structure and find a generic bifurcation mechanism due to symmetric breaking. The thesis is organised as follows. In chapter 1, we give an introduction. In chapter 2, we describe the fundamental mathematical formulation and the boundary-integral method. In chapter 3, we study two-layer gravity solitary waves and their limiting configuration. In chapter 4, we go to the two-layer gravity periodic waves and explain their bifurcation mechanism. In chapter 5, we study interfacial capillary waves and show their limiting configurations. In chapter 6, we study more complex three-layer periodic gravity waves. In chapter 7, we discuss possible future work. Chapter 8 is a conclusion.
| Type: | Thesis (Doctoral) |
|---|---|
| Qualification: | Ph.D |
| Title: | Nonlinear interfacial waves in two/three-layer Euler flows |
| Open access status: | An open access version is available from UCL Discovery |
| Language: | English |
| Additional information: | Copyright © The Author 2023. Original content in this thesis is licensed under the terms of the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) Licence (https://creativecommons.org/licenses/by-nc/4.0/). Any third-party copyright material present remains the property of its respective owner(s) and is licensed under its existing terms. Access may initially be restricted at the author’s request. |
| UCL classification: | 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 UCL |
| URI: | https://discovery.ucl.ac.uk/id/eprint/10192291 |
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