Pullback attractors of the Jeffreys–Oldroyd equations
| Autor(a) principal: | |
|---|---|
| Data de Publicação: | 2016 |
| Outros Autores: | |
| Tipo de documento: | Artigo |
| Idioma: | eng |
| Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
| Texto Completo: | http://hdl.handle.net/10316/43806 https://doi.org/10.1016/j.jde.2015.11.038 |
Resumo: | We study the dynamics of the Jeffreys–Oldroyd equation using the theory of trajectory pullback attractors. We prove an existence theorem for weak solutions and use it to construct a family of trajectory spaces and to specify the class of attracted families of sets, which includes families bounded in the past. Finally, we prove the existence of the trajectory and global pullback attractors of the model. |
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Pullback attractors of the Jeffreys–Oldroyd equationsWe study the dynamics of the Jeffreys–Oldroyd equation using the theory of trajectory pullback attractors. We prove an existence theorem for weak solutions and use it to construct a family of trajectory spaces and to specify the class of attracted families of sets, which includes families bounded in the past. Finally, we prove the existence of the trajectory and global pullback attractors of the model.Elsevier2016info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articlehttp://hdl.handle.net/10316/43806http://hdl.handle.net/10316/43806https://doi.org/10.1016/j.jde.2015.11.038https://doi.org/10.1016/j.jde.2015.11.038enghttps://doi.org/10.1016/j.jde.2015.11.038Zvyagin, VictorKondratyev, Stanislavinfo:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2021-06-29T10:03:02Zoai:estudogeral.uc.pt:10316/43806Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:53:28.112033Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
| dc.title.none.fl_str_mv |
Pullback attractors of the Jeffreys–Oldroyd equations |
| title |
Pullback attractors of the Jeffreys–Oldroyd equations |
| spellingShingle |
Pullback attractors of the Jeffreys–Oldroyd equations Zvyagin, Victor |
| title_short |
Pullback attractors of the Jeffreys–Oldroyd equations |
| title_full |
Pullback attractors of the Jeffreys–Oldroyd equations |
| title_fullStr |
Pullback attractors of the Jeffreys–Oldroyd equations |
| title_full_unstemmed |
Pullback attractors of the Jeffreys–Oldroyd equations |
| title_sort |
Pullback attractors of the Jeffreys–Oldroyd equations |
| author |
Zvyagin, Victor |
| author_facet |
Zvyagin, Victor Kondratyev, Stanislav |
| author_role |
author |
| author2 |
Kondratyev, Stanislav |
| author2_role |
author |
| dc.contributor.author.fl_str_mv |
Zvyagin, Victor Kondratyev, Stanislav |
| description |
We study the dynamics of the Jeffreys–Oldroyd equation using the theory of trajectory pullback attractors. We prove an existence theorem for weak solutions and use it to construct a family of trajectory spaces and to specify the class of attracted families of sets, which includes families bounded in the past. Finally, we prove the existence of the trajectory and global pullback attractors of the model. |
| publishDate |
2016 |
| dc.date.none.fl_str_mv |
2016 |
| dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
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info:eu-repo/semantics/article |
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article |
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publishedVersion |
| dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10316/43806 http://hdl.handle.net/10316/43806 https://doi.org/10.1016/j.jde.2015.11.038 https://doi.org/10.1016/j.jde.2015.11.038 |
| url |
http://hdl.handle.net/10316/43806 https://doi.org/10.1016/j.jde.2015.11.038 |
| dc.language.iso.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
https://doi.org/10.1016/j.jde.2015.11.038 |
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info:eu-repo/semantics/openAccess |
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openAccess |
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Elsevier |
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Elsevier |
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RCAAP |
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RCAAP |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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