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https://hdl.handle.net/11000/32595
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DC Field | Value | Language |
---|---|---|
dc.contributor.author | de Cássia D S Broche, Rita | - |
dc.contributor.author | Carvalho, Alexandre | - |
dc.contributor.author | Valero, José | - |
dc.contributor.other | Departamentos de la UMH::Estadística, Matemáticas e Informática | es_ES |
dc.date.accessioned | 2024-07-22T10:19:01Z | - |
dc.date.available | 2024-07-22T10:19:01Z | - |
dc.date.created | 2019-10-30 | - |
dc.identifier.citation | Nonlinearity, Volume 32, Number 12, 2019 | es_ES |
dc.identifier.issn | 1361-6544 | - |
dc.identifier.issn | 0951-7715 | - |
dc.identifier.uri | https://hdl.handle.net/11000/32595 | - |
dc.description.abstract | The purpose of this paper is to give a characterization of the structure of nonautonomous attractors of the problem ut = uxx + u (t)u3 when the parameter > 0 varies. Also, we answer a question proposed in [11], concerning the complete description of the structure of the pullback attractor of the problem when 1 < < 4 and, more generally, for ̸= N2, 2 N 2 N. We construct global bounded solutions , “non-autonomous equilibria”, connections between the trivial solution and these “non-autonomous equilibria” and characterize the -limit and !-limit set of global bounded solutions. As a consequence, we show that the global attractor of the associated skew-product flow has a gradient structure. The structure of the related pullback an uniform attractors are derived from that. | es_ES |
dc.format | application/pdf | es_ES |
dc.format.extent | 32 | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | IOP Publishing | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject.other | CDU::5 - Ciencias puras y naturales::51 - Matemáticas | es_ES |
dc.title | A non-autonomous scalar one-dimensional dissipative parabolic problem: the description of the dynamics | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.relation.publisherversion | https://doi.org/10.1088/1361-6544/ab3f55 | es_ES |
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