Particle Trajectories in Shallow Water Models

Author

Diana Torres, The University of Texas Rio Grande Valley

Date of Award

8-2021

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Applied Mathematics

First Advisor

Dr. Vesselin Vatchev

Second Advisor

Dr. Zhijun Qiao

Third Advisor

Dr. Sergey Grigorian

Abstract

In this paper we will study particle trajectories under shallow water waves. We will examine equations such as the Korteweg-de Vries and systems dealing with Boussinesq and Euler's Equations to find relationships between particles irrotational velocities. Their solutions and behavior when modeling interacting surface waves will be explored. An attempt to find approximate solutions with different parameters, such as small amplitude and long-crested waves, that will lead to new information and study will be discussed.

Comments

Copyright 2021 Diana Torres. All Rights Reserved.

https://go.openathens.net/redirector/utrgv.edu?url=https://www.proquest.com/dissertations-theses/particle-trajectories-shallow-water-models/docview/2600366350/se-2?accountid=7119

Recommended Citation

Torres, Diana, "Particle Trajectories in Shallow Water Models" (2021). Theses and Dissertations. 1274.
https://scholarworks.utrgv.edu/etd/1274