dc.creator | Zhang, Qiangheng | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Yang, Shuang | es |
dc.date.accessioned | 2024-03-11T13:55:07Z | |
dc.date.available | 2024-03-11T13:55:07Z | |
dc.date.issued | 2023-10-03 | |
dc.identifier.citation | Zhang, Q., Caraballo Garrido, T. y Yang, S. (2023). Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton-Boussinesq equations with delays. Physica D: Nonlinear Phenomena, 458, 134012-1. https://doi.org/10.1016/j.physd.2023.134012. | |
dc.identifier.issn | 0167-2789 | es |
dc.identifier.issn | 1872-8022 | es |
dc.identifier.uri | https://hdl.handle.net/11441/156097 | |
dc.description.abstract | In this paper, we establish theoretical results on the stability of random regular attractors. First, we introduce a backward regular attractor, which is a new type of attractor defined by a minimal backward pullback attracting set. We then establish an existence theorem for such an attractor, and prove it is long time stable. Eventually, we prove the long time stability of regular pullback random attractors. As an application, we consider stochastic non-autonomous Newton–Boussinesq equations with variable and distributed delays. Since solutions of the equations have no higher regularity, we prove their regular asymptotic compactness via the spectrum decomposition technique. | es |
dc.format | application/pdf | es |
dc.format.extent | 24 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Physica D: Nonlinear Phenomena, 458, 134012-1. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Backward regular attractor | es |
dc.subject | Pullback random attractor | es |
dc.subject | Stability | es |
dc.subject | Delay | es |
dc.subject | Newton–Boussinesq equations | es |
dc.title | Stability of regular attractors for non-autonomous random dynamical systems and applications to stochastic Newton-Boussinesq equations with delays | es |
dc.type | info:eu-repo/semantics/article | es |
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.publisherversion | https://doi.org/10.1016/j.physd.2023.134012 | es |
dc.identifier.doi | 10.1016/j.physd.2023.134012 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
dc.journaltitle | Physica D: Nonlinear Phenomena | es |
dc.publication.volumen | 458 | es |
dc.publication.initialPage | 134012-1 | es |