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...

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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
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oai_identifier_str oai:repositorio.unal.edu.co:unal/73790
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network_name_str Universidad Nacional de Colombia
repository_id_str
spelling Atribución-NoComercial 4.0 InternacionalDerechos reservados - Universidad Nacional de Colombiahttp://creativecommons.org/licenses/by-nc/4.0/info:eu-repo/semantics/openAccesshttp://purl.org/coar/access_right/c_abf2Giniatoulline, Andreifc6895d3-a713-4795-a6bc-1468aecdd777300Mayorga, Edgar4f172456-f3ec-4e19-a766-929c029c27c13002019-07-03T16:50:45Z2019-07-03T16:50:45Z2011https://repositorio.unal.edu.co/handle/unal/73790http://bdigital.unal.edu.co/38267/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.application/pdfspaBoletín de Matemáticashttp://revistas.unal.edu.co/index.php/bolma/article/view/40808Universidad Nacional de Colombia Revistas electrónicas UN Boletín de MatemáticasBoletín de MatemáticasBoletín de Matemáticas; Vol. 18, núm. 1 (2011); 55-70 Boletín de Matemáticas; Vol. 18, núm. 1 (2011); 55-70 2357-6529 0120-0380Giniatoulline, Andrei and Mayorga, Edgar (2011) On the uniqueness of the limit amplitude for the induced vibrations in strati. Boletín de Matemáticas; Vol. 18, núm. 1 (2011); 55-70 Boletín de Matemáticas; Vol. 18, núm. 1 (2011); 55-70 2357-6529 0120-0380 .On the uniqueness of the limit amplitude for the induced vibrations in stratiArtículo de revistainfo:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501http://purl.org/coar/resource_type/c_2df8fbb1http://purl.org/coar/version/c_970fb48d4fbd8a85Texthttp://purl.org/redcol/resource_type/ARTpartial differential equationsSobolev spacesstratified fluidlimit amplitudeORIGINAL40808-183754-1-PB.pdfapplication/pdf116361https://repositorio.unal.edu.co/bitstream/unal/73790/1/40808-183754-1-PB.pdfe1addff3afacbb75fba9811fd66d7ac2MD51THUMBNAIL40808-183754-1-PB.pdf.jpg40808-183754-1-PB.pdf.jpgGenerated Thumbnailimage/jpeg5009https://repositorio.unal.edu.co/bitstream/unal/73790/2/40808-183754-1-PB.pdf.jpg6b64ec21f23e3631314837c2d7c761eeMD52unal/73790oai:repositorio.unal.edu.co:unal/737902024-06-26 23:10:34.993Repositorio Institucional Universidad Nacional de Colombiarepositorio_nal@unal.edu.co
dc.title.spa.fl_str_mv On the uniqueness of the limit amplitude for the induced vibrations in strati
title On the uniqueness of the limit amplitude for the induced vibrations in strati
spellingShingle On the uniqueness of the limit amplitude for the induced vibrations in strati
partial differential equations
Sobolev spaces
stratified fluid
limit amplitude
title_short On the uniqueness of the limit amplitude for the induced vibrations in strati
title_full On the uniqueness of the limit amplitude for the induced vibrations in strati
title_fullStr On the uniqueness of the limit amplitude for the induced vibrations in strati
title_full_unstemmed On the uniqueness of the limit amplitude for the induced vibrations in strati
title_sort On the uniqueness of the limit amplitude for the induced vibrations in strati
dc.creator.fl_str_mv Giniatoulline, Andrei
Mayorga, Edgar
dc.contributor.author.spa.fl_str_mv Giniatoulline, Andrei
Mayorga, Edgar
dc.subject.proposal.spa.fl_str_mv partial differential equations
Sobolev spaces
stratified fluid
limit amplitude
topic partial differential equations
Sobolev spaces
stratified fluid
limit amplitude
description 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.
publishDate 2011
dc.date.issued.spa.fl_str_mv 2011
dc.date.accessioned.spa.fl_str_mv 2019-07-03T16:50:45Z
dc.date.available.spa.fl_str_mv 2019-07-03T16:50:45Z
dc.type.spa.fl_str_mv Artículo de revista
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dc.type.content.spa.fl_str_mv Text
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format http://purl.org/coar/resource_type/c_6501
status_str publishedVersion
dc.identifier.uri.none.fl_str_mv https://repositorio.unal.edu.co/handle/unal/73790
dc.identifier.eprints.spa.fl_str_mv http://bdigital.unal.edu.co/38267/
url https://repositorio.unal.edu.co/handle/unal/73790
http://bdigital.unal.edu.co/38267/
dc.language.iso.spa.fl_str_mv spa
language spa
dc.relation.spa.fl_str_mv http://revistas.unal.edu.co/index.php/bolma/article/view/40808
dc.relation.ispartof.spa.fl_str_mv Universidad Nacional de Colombia Revistas electrónicas UN Boletín de Matemáticas
Boletín de Matemáticas
dc.relation.ispartofseries.none.fl_str_mv Boletín de Matemáticas; Vol. 18, núm. 1 (2011); 55-70 Boletín de Matemáticas; Vol. 18, núm. 1 (2011); 55-70 2357-6529 0120-0380
dc.relation.references.spa.fl_str_mv Giniatoulline, Andrei and Mayorga, Edgar (2011) On the uniqueness of the limit amplitude for the induced vibrations in strati. Boletín de Matemáticas; Vol. 18, núm. 1 (2011); 55-70 Boletín de Matemáticas; Vol. 18, núm. 1 (2011); 55-70 2357-6529 0120-0380 .
dc.rights.spa.fl_str_mv Derechos reservados - Universidad Nacional de Colombia
dc.rights.coar.fl_str_mv http://purl.org/coar/access_right/c_abf2
dc.rights.license.spa.fl_str_mv Atribución-NoComercial 4.0 Internacional
dc.rights.uri.spa.fl_str_mv http://creativecommons.org/licenses/by-nc/4.0/
dc.rights.accessrights.spa.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv Atribución-NoComercial 4.0 Internacional
Derechos reservados - Universidad Nacional de Colombia
http://creativecommons.org/licenses/by-nc/4.0/
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.mimetype.spa.fl_str_mv application/pdf
dc.publisher.spa.fl_str_mv Boletín de Matemáticas
institution Universidad Nacional de Colombia
bitstream.url.fl_str_mv https://repositorio.unal.edu.co/bitstream/unal/73790/1/40808-183754-1-PB.pdf
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