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About the Structure of Attractors for a Nonlocal Chafee-Infante Problem
dc.creator | Caballero, Rubén | es |
dc.creator | Carvalho, Alexandre N. | es |
dc.creator | Marín Rubio, Pedro | es |
dc.creator | Valero, José | es |
dc.date.accessioned | 2022-07-01T10:19:27Z | |
dc.date.available | 2022-07-01T10:19:27Z | |
dc.date.issued | 2021 | |
dc.identifier.citation | Caballero, R., Carvalho, A.N., Marín Rubio, P. y Valero, J. (2021). About the Structure of Attractors for a Nonlocal Chafee-Infante Problem. Mathematics, 9, 2-36. | |
dc.identifier.issn | 2227-7390 | es |
dc.identifier.uri | https://hdl.handle.net/11441/134909 | |
dc.description.abstract | In this paper, we study the structure of the global attractor for the multivalued semiflow generated by a nonlocal reaction-diffusion equation in which we cannot guarantee the uniqueness of the Cauchy problem. First, we analyse the existence and properties of stationary points, showing that the problem undergoes the same cascade of bifurcations as in the Chafee-Infante equation. Second, we study the stability of the fixed points and establish that the semiflow is a dynamic gradient. We prove that the attractor consists of the stationary points and their heteroclinic connections and analyse some of the possible connections. | es |
dc.format | application/pdf | es |
dc.format.extent | 36 p. | es |
dc.language.iso | eng | es |
dc.publisher | MDPI | es |
dc.relation.ispartof | Mathematics, 9, 2-36. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Reaction-diffusion equations | es |
dc.subject | Nonlocal equations | es |
dc.subject | Global attractors | es |
dc.subject | Multivalued dynamical systems | es |
dc.subject | Structure of the attractor | es |
dc.subject | Stability | es |
dc.subject | Morse decomposition | es |
dc.title | About the Structure of Attractors for a Nonlocal Chafee-Infante Problem | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/publishedVersion | es |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.relation.publisherversion | https://doi.org/10.3390/math9040353 | es |
dc.identifier.doi | 10.3390/math9040353 | es |
dc.journaltitle | Mathematics | es |
dc.publication.volumen | 9 | es |
dc.publication.initialPage | 2 | es |
dc.publication.endPage | 36 | es |
Ficheros | Tamaño | Formato | Ver | Descripción |
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About the Structure of Attractors ... | 1.240Mb | [PDF] | Ver/ | |