dc.creator | Yang, Shuang | es |
dc.creator | Caraballo Garrido, Tomás | es |
dc.creator | Li, Yangrong | es |
dc.date.accessioned | 2023-02-27T11:49:03Z | |
dc.date.available | 2023-02-27T11:49:03Z | |
dc.date.issued | 2023-04-05 | |
dc.identifier.citation | Yang, S., Caraballo Garrido, T. y Li, Y. (2023). Invariant measures for stochastic 3D Lagrangian-averaged Navier–Stokes equations with infinite delay. Communications in nonlinear science and numerical simulation, 118, 107004-1. https://doi.org/10.1016/j.cnsns.2022.107004. | |
dc.identifier.issn | 1007-5704 | es |
dc.identifier.uri | https://hdl.handle.net/11441/143011 | |
dc.description.abstract | In this paper we investigate stochastic dynamics and invariant measures for stochastic 3D Lagrangian-averaged NavierStokes (LANS) equations driven by infinite delay and additive noise. We first use the Galerkin approximations, a priori
estimates and standard Gronwall lemma to show the well-posedness for the corresponding random equation, whose
solution operators lead to the existence of a random dynamical system. Next, the asymptotic compactness for the
random dynamical system is established via the Ascoli-Arzel`a theorem. Besides, we derive the existence of a global
random attractor for the random dynamical system. Moreover, we prove that the random dynamical system is bounded
and continuous with respect to the initial time. Eventually, we construct a family of invariant Borel probability measures,
which is supported by the global random attractor. | es |
dc.format | application/pdf | es |
dc.format.extent | 23 p. | es |
dc.language.iso | eng | es |
dc.publisher | Elsevier | es |
dc.relation.ispartof | Communications in nonlinear science and numerical simulation, 118, 107004-1. | |
dc.rights | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
dc.subject | Stochastic 3D Lagrangian-averaged Navier–Stokes equations | es |
dc.subject | Infinite delay | es |
dc.subject | Random attractors | es |
dc.subject | Invariant measures | es |
dc.subject | Generalized Banach limit | es |
dc.title | Invariant measures for stochastic 3D Lagrangian-averaged Navier–Stokes equations with infinite delay | 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.publisherversion | https://doi.org/10.1016/j.cnsns.2022.107004 | es |
dc.identifier.doi | 10.1016/j.cnsns.2022.107004 | es |
dc.contributor.group | Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales | es |
dc.journaltitle | Communications in nonlinear science and numerical simulation | es |
dc.publication.volumen | 118 | es |
dc.publication.initialPage | 107004-1 | es |