A comparison of solutions of a Boussinesq system and the Benjamin-Bona-Mahony equation.
| dc.contributor.advisor | Albert, John, | en_US |
| dc.contributor.author | Alazman, Abdulrahman A. | en_US |
| dc.date.accessioned | 2013-08-16T12:30:53Z | |
| dc.date.available | 2013-08-16T12:30:53Z | |
| dc.date.issued | 2000 | en_US |
| dc.description.abstract | We compare solutions of a regularized Boussinesq model system for water waves to solutions of the Benjamin-Bona-Mahony equation. Both the system and the equation are obtained as formal approximations to the Euler equations of motion in which terms of order epsilon2 are neglected, where epsilon is a small parameter related to the wave amplitude and the inverse wavelength. For each choice of initial free-surface profile in an appropriate Sobolev space, we show that the Boussinesq system has a unidirectional solution which exists on a time interval 0 ≤ t ≤ T of length T = O( 1/e ), and that on this time interval the solution agrees with the corresponding solution of the Benjamin-Bona-Mahony equation to within Cepsilon2t, where C is independent of epsilon and t. Therefore the solution of the system agrees with the solution of the equation to within the accuracy of either model. | en_US |
| dc.format.extent | vi, 52 leaves : | en_US |
| dc.identifier.uri | http://hdl.handle.net/11244/5956 | |
| dc.note | Adviser: John Albert. | en_US |
| dc.note | Source: Dissertation Abstracts International, Volume: 61-03, Section: B, page: 1435. | en_US |
| dc.subject | Wave-motion, Theory of. | en_US |
| dc.subject | Ocean waves Mathematical models. | en_US |
| dc.subject | Mathematics. | en_US |
| dc.subject | Physics, Fluid and Plasma. | en_US |
| dc.subject | Nonlinear wave equations. | en_US |
| dc.thesis.degree | Ph.D. | en_US |
| dc.thesis.degreeDiscipline | Department of Mathematics | en_US |
| dc.title | A comparison of solutions of a Boussinesq system and the Benjamin-Bona-Mahony equation. | en_US |
| dc.type | Thesis | en_US |
| ou.group | College of Arts and Sciences::Department of Mathematics | |
| ou.identifier | (UMI)AAI9964763 | en_US |
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