On the uniqueness of the limit amplitude for the induced vibrations in strati
For three-dimensional exponentially stratied ows we make a review of our previous results and present a new corollary which consist of a detailed analysis for the classes of uniqueness of the solutions of the relevant equation for the limit amplitude of the induced vibrations caused by a periodic ex...
- Autores:
-
Giniatoulline, Andrei
Mayorga, Edgar
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2011
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/73790
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/73790
http://bdigital.unal.edu.co/38267/
- Palabra clave:
- partial differential equations
Sobolev spaces
stratified fluid
limit amplitude
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | For three-dimensional exponentially stratied ows we make a review of our previous results and present a new corollary which consist of a detailed analysis for the classes of uniqueness of the solutions of the relevant equation for the limit amplitude of the induced vibrations caused by a periodic external force. Our main result is that for a frequency outside of the spectrum the limit amplitude is unique, while for a frequency belonging to the spectrum the limit amplitude loses the uniqueness. |
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