Reflection and transmission of surface water waves by undulating bottom topography
| dc.contributor.author | Martha, Subash Chandra | |
| dc.date.accessioned | 2015-09-16T05:28:35Z | |
| dc.date.accessioned | 2023-10-20T12:30:18Z | |
| dc.date.available | 2015-09-16T05:28:35Z | |
| dc.date.available | 2023-10-20T12:30:18Z | |
| dc.date.issued | 2006 | |
| dc.description | Supervisor: S. N. Bora | en_US |
| dc.description.abstract | The objective of this thesis is to investigate the scattering of a train of small amplitude harmonic surface water waves by small undulation of a sea-bed for both normal and oblique incidence. In this study of scattering, mixed boundary value problems are set up for the determi- nation of a velocity potential where the governing partial differential equation happens to be Laplace's equation in two dimensions for normal incidence and in three dimensions for oblique incidence within the fluid with a mixed boundary condition on the free surface and a condition on the bottom boundary. As the fluid domain extends to infinity, a far-field condition or an infinity condition arises to ensure uniqueness of the problem. Applying a perturbation analysis, which involves a small parameter Epsilon present in the representation of the small undulation of the sea-bed, directly to the boundary value problem the original problem is reduced to a simpler boundary value problem for the first order correction of the potential.. | en_US |
| dc.identifier.other | ROLL NO.02612305 | |
| dc.identifier.uri | https://gyan.iitg.ac.in/handle/123456789/85 | |
| dc.language.iso | en | en_US |
| dc.relation.ispartofseries | TH-0369; | |
| dc.subject | MATHEMATICS | en_US |
| dc.title | Reflection and transmission of surface water waves by undulating bottom topography | en_US |
| dc.type | Thesis | en_US |