dc.creator | Allouba, Hassan | es |
dc.creator | Langa Rosado, José Antonio | es |
dc.date.accessioned | 2016-09-14T09:40:24Z | |
dc.date.available | 2016-09-14T09:40:24Z | |
dc.date.issued | 2004 | |
dc.identifier.citation | Allouba, H. y Langa Rosado, J.A. (2004). Semimartingale attractors for Allen-Cahn SPDEs driven by space-time white noise I: existence and finite dimensional asymptotic behavior. Stochastics and Dynamics, 4 (2), 223-244. | |
dc.identifier.issn | 0219-4937 | es |
dc.identifier.issn | 1793-6799 | es |
dc.identifier.uri | http://hdl.handle.net/11441/44987 | |
dc.description.abstract | We delve deeper into the study of semimartingale attractors that we recently introduced in Allouba and Langa [4] H. Allouba and J.A. Langa, Semimartingale attractors for generalized Allen-Cahn SPDEs driven by space-time white noise, C. R. Acad. Sci. Paris, Ser. I 337 (2003), 201-206. In this article we focus on second order SPDEs of the Allen-Cahn type. After proving existence, uniqueness, and detailed regularity results for our SPDEs and a corresponding random PDE of Allen-Cahn type, we prove the existence of semimartingale global attractors for these equations. We also give some results on the finite dimensional asymptotic behavior of the solutions. In particular, we show the finite fractal dimension of this random attractor and give a result on determining modes, both in the forward and the pullback sense. | es |
dc.description.sponsorship | National Security Agency | es |
dc.description.sponsorship | Ministerio de Educación y Ciencia | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | World Scientific | es |
dc.relation.ispartof | Stochastics and Dynamics, 4 (2), 223-244. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Semimartingale attractors | es |
dc.subject | Stochastic Allen-Cahn equations | es |
dc.subject | Spacetime white noise | es |
dc.subject | SPDE’s | es |
dc.title | Semimartingale attractors for Allen-Cahn SPDEs driven by space-time white noise I: existence and finite dimensional asymptotic behavior | 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 | MDA904-02-1-0083 | es |
dc.relation.projectID | BFM2002-03068 | es |
dc.relation.publisherversion | http://www.worldscientific.com/doi/pdf/10.1142/S0219493704001024 | es |
dc.identifier.doi | 10.1142/S0219493704001024 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
idus.format.extent | 18 p. | es |
dc.journaltitle | Stochastics and Dynamics | es |
dc.publication.volumen | 4 | es |
dc.publication.issue | 2 | es |
dc.publication.initialPage | 223 | es |
dc.publication.endPage | 244 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/44987 | |