Modal analysis of long wave equations
| dc.contributor.advisor | Vishik, Mikhail | en |
| dc.contributor.advisor | Bona, J. L. | en |
| dc.creator | Socha, Katherine Sue | en |
| dc.date.accessioned | 2008-08-28T21:40:30Z | en |
| dc.date.available | 2008-08-28T21:40:30Z | en |
| dc.date.issued | 2002 | en |
| dc.description | text | en |
| dc.description.abstract | This work studies the use of modal expansion approximations of solutions of model long wave equations. Such model equations are of interest to oceanographers and engineers because they describe the propagation of surface water waves, used in near-shore models of sandbar formation. General theoretical results are derived for standard long wave models in the form of dispersive, nonlinear partial differential equations. Particular numerical results are computed for such model equations, including the Korteweg-de Vries equation, the Benjamin-Bona-Mahony equation, and the Benjamin-Ono equation, among others. | |
| dc.description.department | Mathematics | en |
| dc.format.medium | electronic | en |
| dc.identifier | b57231035 | en |
| dc.identifier.oclc | 56975130 | en |
| dc.identifier.proqst | 3088573 | en |
| dc.identifier.uri | http://hdl.handle.net/2152/947 | en |
| dc.language.iso | eng | en |
| dc.rights | Copyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works. | en |
| dc.subject.lcsh | Difference equations--Numerical solutions | en |
| dc.subject.lcsh | Modal analysis | en |
| dc.subject.lcsh | Ocean waves--Mathematical models | en |
| dc.title | Modal analysis of long wave equations | en |
| dc.type.genre | Thesis | en |
| thesis.degree.department | Mathematics | en |
| thesis.degree.discipline | Mathematics | en |
| thesis.degree.grantor | The University of Texas at Austin | en |
| thesis.degree.level | Doctoral | en |
| thesis.degree.name | Doctor of Philosophy | en |