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Artículo
Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations
dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Chueshov, Igor D. | |
dc.creator | Langa Rosado, José Antonio | |
dc.date.accessioned | 2015-04-08T10:27:09Z | |
dc.date.available | 2015-04-08T10:27:09Z | |
dc.date.issued | 2005 | es |
dc.identifier.issn | 0951-7715 | es |
dc.identifier.uri | http://hdl.handle.net/11441/23664 | |
dc.description.abstract | An abstract system of coupled nonlinear parabolic-hyperbolic partial differential equations subjected to additive white noise is considered. The system models temperature dependent or heat generating wave phenomena in a continuum random medium. Under suitable conditions, the existence of an exponentially attracting random invariant manifold for the coupled system is proved, and as a consequence, the system can be reduced to a single stochastic hyperbolic equation with a modified nonlinear term. Finally it is also proved that this random manifold converges to its deterministic counterpart when the intensity of noise tends to zero. | |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.relation.ispartof | Nonlinearity, 18(2), 747-767 | es |
dc.rights | Atribución-NoComercial-SinDerivadas 4.0 España | es |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0 | es |
dc.subject | Invariant manifolds | |
dc.subject | paraboliic stochastic partial differential equations | |
dc.subject | hyperbolic stochastic partial differential equations | |
dc.title | Existence of invariant manifolds for coupled parabolic and hyperbolic stochastic partial differential equations | es |
dc.type | info:eu-repo/semantics/article | es |
dcterms.identifier | https://ror.org/03yxnpp24 | |
dc.rights.accessRights | info:eu-repo/semantics/openAccess | es |
dc.contributor.affiliation | Universidad de Sevilla. Departamento de Ecuaciones Diferenciales y Análisis Numérico | es |
dc.identifier.doi | http://dx.doi.org/10.1088/0951-7715/18/2/015 | es |
dc.identifier.idus | https://idus.us.es/xmlui/handle/11441/23664 |
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