dc.creator | Cui, Hongyong | es |
dc.creator | Langa Rosado, José Antonio | es |
dc.creator | Li, Yangrong | es |
dc.date.accessioned | 2016-12-01T12:30:07Z | |
dc.date.available | 2016-12-01T12:30:07Z | |
dc.date.issued | 2016-07 | |
dc.identifier.citation | Cui, H., Langa Rosado, J.A. y Li, Y. (2016). Regularity and structure of pullback attractors for reaction-diffusion type systems without uniqueness. Nonlinear Analysis: Theory, Methods and Applications, 140, 208-235. | |
dc.identifier.issn | 0362-546X | es |
dc.identifier.uri | http://hdl.handle.net/11441/49529 | |
dc.description.abstract | In this paper, we study the pullback attractor for a general reaction-diffusion system for which the uniqueness of solutions is not assumed. We first establish some general results for a multi-valued dynamical system to have a bi-spatial pullback attractor, and then we find that the attractor can be backwards compact and composed of all the backwards bounded complete trajectories. As an application, a general reaction-diffusion system is proved to have an invariant (H, V )-pullback attractor A = {A(τ)}τ∈R. This attractor is composed of all the backwards compact complete trajectories of the system, pullback attracts bounded subsets of H in the topology of V, and moreover ∪
s6τ A(s) is precompact in V, ∀τ ∈ R. A non-autonomous Fitz-Hugh-Nagumo equation is studied as a specific example of the reaction–diffusion system. | es |
dc.description.sponsorship | State Scholarship Fund (China) | es |
dc.description.sponsorship | Junta de Andalucía | es |
dc.description.sponsorship | Brazilian-European partnership in Dynamical Systems | es |
dc.description.sponsorship | European Union | es |
dc.description.sponsorship | National Natural Science Foundation of China | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Nonlinear Analysis: Theory, Methods and Applications, 140, 208-235. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Pullback attractors | es |
dc.subject | Multi-valued non-autonomous dynamical systems | es |
dc.subject | Structure of pullback attractors | es |
dc.title | Regularity and structure of pullback attractors for reaction-diffusion type systems without uniqueness | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.type.version | info:eu-repo/semantics/submittedVersion | 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.projectID | FQM-1492 | es |
dc.relation.projectID | info:eu-repo/grantAgreement/EC/FP7/318999 | es |
dc.relation.projectID | 11571283 | es |
dc.relation.publisherversion | http://ac.els-cdn.com/S0362546X16300025/1-s2.0-S0362546X16300025-main.pdf?_tid=92cb573a-b7c0-11e6-8828-00000aab0f26&acdnat=1480595020_1477134411dd82cf8f9fcdf49e1e2905 | es |
dc.identifier.doi | 10.1016/j.na.2016.03.012 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
idus.format.extent | 28 p. | es |
dc.journaltitle | Nonlinear Analysis: Theory, Methods and Applications | es |
dc.publication.volumen | 140 | es |
dc.publication.initialPage | 208 | es |
dc.publication.endPage | 235 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/49529 | |