dc.creator | Zhao, Caidi | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.date.accessioned | 2019-04-12T11:28:30Z | |
dc.date.available | 2019-04-12T11:28:30Z | |
dc.date.issued | 2019-05-15 | |
dc.identifier.citation | Zhao, C. y Caraballo Garrido, T. (2019). Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations. Journal of Differential Equations, 266 (11), 7205-7229. | |
dc.identifier.issn | 0022-0396 | es |
dc.identifier.uri | https://hdl.handle.net/11441/85593 | |
dc.description.abstract | We first prove the existence and regularity of the trajectory attractor for a threedimensional system of globally modified Navier-Stokes equations. Then we use the natural translation semigroup and trajectory attractor to construct the trajectory statistical solutions in the trajectory space. In our construction the trajectory statistical solution is an invariant Borel probability measure, which is supported
by the trajectory attractor and is invariant under the action of the translation semigroup. As a byproduct of the regularity of the trajectory attractor, we obtain the asymptotic regularity of the trajectory statistical solution in the sense that it is supported by a set in the trajectory space in which all weak solutions are in fact
strong solutions. | es |
dc.description.sponsorship | National Natural Science Foundation of China (Zhejiang Province) | es |
dc.description.sponsorship | Fondo Europeo de Desarrollo Regional (FEDER) | es |
dc.description.sponsorship | Ministerio de Economía y Competitividad | es |
dc.description.sponsorship | Consejería de Innovación, Ciencia y Empresa (Junta de Andalucía) | es |
dc.format | application/pdf | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Journal of Differential Equations, 266 (11), 7205-7229. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Globally modified Navier-Stokes equations | es |
dc.subject | Trajectory attractor | es |
dc.subject | Trajectory statistical solution | es |
dc.subject | Invariant measure | es |
dc.subject | Asymptotic regularity | es |
dc.title | Asymptotic regularity of trajectory attractor and trajectory statistical solution for the 3D globally modified Navier-Stokes equations | 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 | LY17A010011 | es |
dc.relation.projectID | MTM2015-63723-P | es |
dc.relation.projectID | P12-FQM-1492 | es |
dc.relation.publisherversion | https://reader.elsevier.com/reader/sd/pii/S0022039618306855?token=D454850A0596E7508219C8AA599D98EF05CEB93831D2F80E52BA137A2D3F1EC20CCF396A3D6F9DA8ADB66971546A2280 | es |
dc.identifier.doi | 10.1016/j.jde.2018.11.032 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
idus.format.extent | 24 p. | es |
dc.journaltitle | Journal of Differential Equations | es |
dc.publication.volumen | 266 | es |
dc.publication.issue | 11 | es |
dc.publication.initialPage | 7205 | es |
dc.publication.endPage | 7229 | es |