| dc.contributor.author | Juliussen, Bjørn-Sverre Hjelle | eng |
| dc.date.accessioned | 2014-08-26T15:53:22Z | |
| dc.date.available | 2014-08-26T15:53:22Z | |
| dc.date.issued | 2014-06-02 | eng |
| dc.date.submitted | 2014-06-02 | eng |
| dc.identifier.uri | https://hdl.handle.net/1956/8335 | |
| dc.description.abstract | The Kaup-Boussinesq system is a coupled system of nonlinear partial differential equations which has been derived as a model for surface waves in the context of the Boussinesq scaling, and it has also been derived for an internal wave system. In this thesis, modeling properties of the Kaup-Boussinesq water-wave model are under investigation. Differential balance laws for mass, momentum and energy are considered, and we present an exact differential balance for momentum. A Kaup-Boussinesq system describing long internal waves is investigated and compared with the Gardner equation. Finally, a spectral method for the numerical discretization of the Kaup-Boussinesq system for surface waves is put forward, and shown to converge and be stable. | en_US |
| dc.format.extent | 845235 bytes | eng |
| dc.format.mimetype | application/pdf | eng |
| dc.language.iso | eng | eng |
| dc.publisher | The University of Bergen | en_US |
| dc.subject | Kaup | eng |
| dc.subject | Kaup-Boussinesq | eng |
| dc.subject | Differential balance equation | eng |
| dc.subject | Spectral method | eng |
| dc.title | Investigations of the Kaup-Boussinesq model equations for water waves | en_US |
| dc.type | Master thesis | |
| dc.rights.holder | Copyright the author. All rights reserved | en_US |
| dc.description.degree | Master i Anvendt og beregningsorientert matematikk | en_US |
| dc.description.localcode | MAMN-MAB | |
| dc.description.localcode | MAB399 | |
| dc.subject.nus | 753109 | eng |
| fs.subjectcode | MAB399 | |
