Publicado

2011-01-01

On the uniqueness of the limit amplitude for the induced vibrations in strati

Palabras clave:

partial differential equations, Sobolev spaces, stratified fluid, limit amplitude (es)

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Autores/as

  • Andrei Giniatoulline Universidad de los Andes
  • Edgar Mayorga Universidad de los Andes
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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Cómo citar

Giniatoulline, A., & Mayorga, E. (2011). On the uniqueness of the limit amplitude for the induced vibrations in strati. Boletín De Matemáticas, 18(1), 55-70. https://revistas.unal.edu.co/index.php/bolma/article/view/40808