Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations

In this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample measures for random dynamical systems via the approach of global random attractors. Then we consider the two-dimensional incompressible Navier-Stokes equations with additive white noise as an ex...

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Detalles Bibliográficos
Autores: Zhao, Caidi, Wang, Jintao, Caraballo Garrido, Tomás
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2022
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/130373
Acceso en línea:https://hdl.handle.net/11441/130373
https://doi.org/10.1016/j.jde.2022.02.007
Access Level:acceso abierto
Palabra clave:Invariant sample measures
Random Liouville type theorem
Random dynamical system
Global random attractor
Stochastic Navier-Stokes equations
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spelling Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equationsZhao, CaidiWang, JintaoCaraballo Garrido, TomásInvariant sample measuresRandom Liouville type theoremRandom dynamical systemGlobal random attractorStochastic Navier-Stokes equationsIn this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample measures for random dynamical systems via the approach of global random attractors. Then we consider the two-dimensional incompressible Navier-Stokes equations with additive white noise as an example to show how to check the sufficient conditions for concrete stochastic partial differential equations. Our results generalize the Liouville type theorem to the random case and reveal that the invariance of the sample measures is a particular situation of the random Liouville type theoremElsevierEcuaciones Diferenciales y Análisis NuméricoFQM314: Análisis estocástico de sistemas diferenciales2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/130373https://doi.org/10.1016/j.jde.2022.02.007reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésJournal of Differential Equations, 317, 474-494.https://doi.org/10.1016/j.jde.2022.02.007info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1303732026-06-17T12:51:07Z
dc.title.none.fl_str_mv Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
title Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
spellingShingle Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
Zhao, Caidi
Invariant sample measures
Random Liouville type theorem
Random dynamical system
Global random attractor
Stochastic Navier-Stokes equations
title_short Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
title_full Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
title_fullStr Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
title_full_unstemmed Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
title_sort Invariant sample measures and random Liouville type theorem for the two-dimensional stochastic Navier-Stokes equations
dc.creator.none.fl_str_mv Zhao, Caidi
Wang, Jintao
Caraballo Garrido, Tomás
author Zhao, Caidi
author_facet Zhao, Caidi
Wang, Jintao
Caraballo Garrido, Tomás
author_role author
author2 Wang, Jintao
Caraballo Garrido, Tomás
author2_role author
author
dc.contributor.none.fl_str_mv Ecuaciones Diferenciales y Análisis Numérico
FQM314: Análisis estocástico de sistemas diferenciales
dc.subject.none.fl_str_mv Invariant sample measures
Random Liouville type theorem
Random dynamical system
Global random attractor
Stochastic Navier-Stokes equations
topic Invariant sample measures
Random Liouville type theorem
Random dynamical system
Global random attractor
Stochastic Navier-Stokes equations
description In this article, we first prove some sufficient conditions guaranteeing the existence of invariant sample measures for random dynamical systems via the approach of global random attractors. Then we consider the two-dimensional incompressible Navier-Stokes equations with additive white noise as an example to show how to check the sufficient conditions for concrete stochastic partial differential equations. Our results generalize the Liouville type theorem to the random case and reveal that the invariance of the sample measures is a particular situation of the random Liouville type theorem
publishDate 2022
dc.date.none.fl_str_mv 2022
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/11441/130373
https://doi.org/10.1016/j.jde.2022.02.007
url https://hdl.handle.net/11441/130373
https://doi.org/10.1016/j.jde.2022.02.007
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Journal of Differential Equations, 317, 474-494.
https://doi.org/10.1016/j.jde.2022.02.007
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
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