Existence of an exponential attractor for a p−Kirchhoff model with infinite memory

The main objective of this work is to study the long-term dynamics of a p−Kirchhoff model with infinite memory exposed to structural forces on a bounded domain Ω ⊂ ℝn. In particular, the existence of a global attractor with exponential attraction rate and finite fractal dimension is shown, that is,...

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Autores: Noel Figueroa, Pablo Fernando, Santaria Leuyacc, Yony Raúl
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:Perú
Recursos:Universidad Nacional Mayor de San Marcos
Repositorio:Revistas - Universidad Nacional Mayor de San Marcos
Idioma:español
OAI Identifier:oai:revistasinvestigacion.unmsm.edu.pe:article/22462
Acesso em linha:https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/22462
Access Level:acceso abierto
Palavra-chave:p−Kirchhoff equation
infinite memory
global attractors
exponential attractors
Ecuaci´on de p−Kirchhoff
memoria infinita
atractores globales
atractores exponenciales
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spelling Existence of an exponential attractor for a p−Kirchhoff model with infinite memoryExistencia de un atractor exponencial para un modelo de p−Kirchhoff con memoria infinitaNoel Figueroa, Pablo FernandoSantaria Leuyacc, Yony RaúlNoel Figueroa, Pablo FernandoSantaria Leuyacc, Yony Raúlp−Kirchhoff equationinfinite memoryglobal attractorsexponential attractorsEcuaci´on de p−Kirchhoffmemoria infinitaatractores globalesatractores exponencialesThe main objective of this work is to study the long-term dynamics of a p−Kirchhoff model with infinite memory exposed to structural forces on a bounded domain Ω ⊂ ℝn. In particular, the existence of a global attractor with exponential attraction rate and finite fractal dimension is shown, that is, the existence of an exponential attractor is proved.El presente trabajo tiene por objetivo principal estudiar la dinámica a largo plazo de un modelo de p−Kirchhoff con memoria infinita expuesto a fuerzas estructurales sobre un dominio acotado Ω ⊂ ℝn. En particular se muestra la existencia de un atractor global con tasa de atracción exponencial y dimensión fractal finita, es decir, se prueba la existencia de un atractor exponencial.Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas2022-06-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/2246210.15381/pesquimat.v25i1.22462Pesquimat; Vol. 25 No. 1 (2022); 36-49Pesquimat; Vol. 25 Núm. 1 (2022); 36-491609-84391560-912Xreponame:Revistas - Universidad Nacional Mayor de San Marcosinstname:Universidad Nacional Mayor de San Marcosinstacron:UNMSMspahttps://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/22462/18345Derechos de autor 2022 Pablo Fernando Noel Figueroa, Yony Raúl Santaria Leuyacchttp://creativecommons.org/licenses/by-nc-sa/4.0info:eu-repo/semantics/openAccessoai:revistasinvestigacion.unmsm.edu.pe:article/224622022-07-18T23:54:09Z
dc.title.none.fl_str_mv Existence of an exponential attractor for a p−Kirchhoff model with infinite memory
Existencia de un atractor exponencial para un modelo de p−Kirchhoff con memoria infinita
title Existence of an exponential attractor for a p−Kirchhoff model with infinite memory
spellingShingle Existence of an exponential attractor for a p−Kirchhoff model with infinite memory
Noel Figueroa, Pablo Fernando
p−Kirchhoff equation
infinite memory
global attractors
exponential attractors
Ecuaci´on de p−Kirchhoff
memoria infinita
atractores globales
atractores exponenciales
title_short Existence of an exponential attractor for a p−Kirchhoff model with infinite memory
title_full Existence of an exponential attractor for a p−Kirchhoff model with infinite memory
title_fullStr Existence of an exponential attractor for a p−Kirchhoff model with infinite memory
title_full_unstemmed Existence of an exponential attractor for a p−Kirchhoff model with infinite memory
title_sort Existence of an exponential attractor for a p−Kirchhoff model with infinite memory
dc.creator.none.fl_str_mv Noel Figueroa, Pablo Fernando
Santaria Leuyacc, Yony Raúl
Noel Figueroa, Pablo Fernando
Santaria Leuyacc, Yony Raúl
author Noel Figueroa, Pablo Fernando
author_facet Noel Figueroa, Pablo Fernando
Santaria Leuyacc, Yony Raúl
author_role author
author2 Santaria Leuyacc, Yony Raúl
author2_role author
dc.subject.none.fl_str_mv p−Kirchhoff equation
infinite memory
global attractors
exponential attractors
Ecuaci´on de p−Kirchhoff
memoria infinita
atractores globales
atractores exponenciales
topic p−Kirchhoff equation
infinite memory
global attractors
exponential attractors
Ecuaci´on de p−Kirchhoff
memoria infinita
atractores globales
atractores exponenciales
description The main objective of this work is to study the long-term dynamics of a p−Kirchhoff model with infinite memory exposed to structural forces on a bounded domain Ω ⊂ ℝn. In particular, the existence of a global attractor with exponential attraction rate and finite fractal dimension is shown, that is, the existence of an exponential attractor is proved.
publishDate 2022
dc.date.none.fl_str_mv 2022-06-30
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/22462
10.15381/pesquimat.v25i1.22462
url https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/22462
identifier_str_mv 10.15381/pesquimat.v25i1.22462
dc.language.none.fl_str_mv spa
language spa
dc.relation.none.fl_str_mv https://revistasinvestigacion.unmsm.edu.pe/index.php/matema/article/view/22462/18345
dc.rights.none.fl_str_mv Derechos de autor 2022 Pablo Fernando Noel Figueroa, Yony Raúl Santaria Leuyacc
http://creativecommons.org/licenses/by-nc-sa/4.0
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Derechos de autor 2022 Pablo Fernando Noel Figueroa, Yony Raúl Santaria Leuyacc
http://creativecommons.org/licenses/by-nc-sa/4.0
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas
publisher.none.fl_str_mv Universidad Nacional Mayor de San Marcos, Facultad de Ciencias Matemáticas
dc.source.none.fl_str_mv Pesquimat; Vol. 25 No. 1 (2022); 36-49
Pesquimat; Vol. 25 Núm. 1 (2022); 36-49
1609-8439
1560-912X
reponame:Revistas - Universidad Nacional Mayor de San Marcos
instname:Universidad Nacional Mayor de San Marcos
instacron:UNMSM
instname_str Universidad Nacional Mayor de San Marcos
instacron_str UNMSM
institution UNMSM
reponame_str Revistas - Universidad Nacional Mayor de San Marcos
collection Revistas - Universidad Nacional Mayor de San Marcos
repository.name.fl_str_mv
repository.mail.fl_str_mv
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