University of Illinois at Chicago
NGOM-DISSERTATION-2019.pdf (2.31 MB)
Download file

A Theoretical and Numerical Analysis of the Faraday Wave Experiment

Download (2.31 MB)
posted on 2019-08-06, 00:00 authored by Marieme Ngom
This thesis focuses on the well-posedness and stability of the Water Wave Equation in the context of the Faraday wave experiment. We prove that the solutions to the viscous water wave equation formulated by Dias, Dyachenko and Zakharov (DDZ) and supplemented with viscosity, surface tension and small vertical forcing is well-posed. We then derive some numerical stability results in the case of larger forcing and solve these equations numerically by using High Order Perturbation of Surfaces (HOPS) methods. We validate our code by first testing it in the case of traveling waves where exact solutions can be derived and by testing our approach against methods present in the literature.



Nicholls, David Peter


Nicholls, David Peter


Mathematics, Statistics and Computer Science

Degree Grantor

University of Illinois at Chicago

Degree Level

  • Doctoral

Committee Member

Awanou, Gerard Dai, Mimi Nenciu, Irina Liang, Jie

Submitted date

May 2019

Issue date


Usage metrics


No categories selected