On the Trajectories of Particles in Solitary Waves

On the Trajectories of Particles in Solitary Waves

Bibliographic Details
Main Author: Pirilla, Patrick Brian
Language:English
Published: Youngstown State University / OhioLINK 2011
Subjects:
Applied Mathematics
Fluid Dynamics
Mathematics
Physics
Solitons
Fluid dynamics
Water waves
Euler equation
KdV equation
Differential equations
Online Access:http://rave.ohiolink.edu/etdc/view?acc_num=ysu1311100628
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spelling ndltd-OhioLink-oai-etd.ohiolink.edu-ysu13111006282021-08-03T06:18:11Z On the Trajectories of Particles in Solitary Waves Pirilla, Patrick Brian Applied Mathematics Fluid Dynamics Mathematics Physics Solitons Fluid dynamics Water waves Euler equation KdV equation Differential equations <p>Across the country, school students learn that ocean waves cause water particles to form looping paths, traveling in circles which become smaller as you look deeper underwater.</p><p>In this paper, we investigate the approximations which are used to make this claim. Furthermore, we investigate closer approximation techniques which show that these looping paths actually propogate forward with the wave's motion. Finally, we investigate the specific case of the soliton, which causes particles underneath to travel in a forward-moving arc, with no looping motion at all.</p><p>With this background, we examine the recent work of A. Constantin and collaborators, specifically his conclusion that our results for the soliton hold for any solitary wave.</p> 2011-07-19 English text Youngstown State University / OhioLINK http://rave.ohiolink.edu/etdc/view?acc_num=ysu1311100628 http://rave.ohiolink.edu/etdc/view?acc_num=ysu1311100628 unrestricted This thesis or dissertation is protected by copyright: some rights reserved. It is licensed for use under a Creative Commons license. Specific terms and permissions are available from this document's record in the OhioLINK ETD Center.
collection NDLTD
language English
sources NDLTD
topic Applied Mathematics
Fluid Dynamics
Mathematics
Physics
Solitons
Fluid dynamics
Water waves
Euler equation
KdV equation
Differential equations
spellingShingle Applied Mathematics
Fluid Dynamics
Mathematics
Physics
Solitons
Fluid dynamics
Water waves
Euler equation
KdV equation
Differential equations
Pirilla, Patrick Brian
On the Trajectories of Particles in Solitary Waves
author Pirilla, Patrick Brian
author_facet Pirilla, Patrick Brian
author_sort Pirilla, Patrick Brian
title On the Trajectories of Particles in Solitary Waves
title_short On the Trajectories of Particles in Solitary Waves
title_full On the Trajectories of Particles in Solitary Waves
title_fullStr On the Trajectories of Particles in Solitary Waves
title_full_unstemmed On the Trajectories of Particles in Solitary Waves
title_sort on the trajectories of particles in solitary waves
publisher Youngstown State University / OhioLINK
publishDate 2011
url http://rave.ohiolink.edu/etdc/view?acc_num=ysu1311100628
work_keys_str_mv AT pirillapatrickbrian onthetrajectoriesofparticlesinsolitarywaves
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