Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications

Zhao, Caidi; Li, Yanjiao; Caraballo Garrido, Tomás

doi:10.1016/j.jde.2019.12.011

Artículo

dc.creator	Zhao, Caidi	es
dc.creator	Li, Yanjiao	es
dc.creator	Caraballo Garrido, Tomás	es
dc.date.accessioned	2020-09-08T09:11:06Z
dc.date.available	2020-09-08T09:11:06Z
dc.date.issued	2020-06
dc.identifier.citation	Zhao, C., Li, Y. y Caraballo Garrido, T. (2020). Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications. Journal of Differential Equations, 269 (1), 467-494.
dc.identifier.issn	0022-0396	es
dc.identifier.uri	https://hdl.handle.net/11441/100805
dc.description.abstract	In this article, we first prove, from the viewpoint of infinite dynamical system, sufficient conditions ensuring the existence of trajectory statistical solutions for autonomous evolution equations. Then we establish that the constructed trajectory statistical solutions possess invariant property and satisfy a Liouville type equation. Moreover, we reveal that the equation describing the invariant property of the trajectory statistical solutions is a particular situation of the Liouville type equation. Finally, we study the equations of three-dimensional incompressible magneto-micropolar fluids in detail and illustrate how to apply our abstract results to some concrete autonomous evolution equations.	es
dc.format	application/pdf	es
dc.format.extent	28 p.	es
dc.language.iso	eng	es
dc.publisher	Elsevier	es
dc.relation.ispartof	Journal of Differential Equations, 269 (1), 467-494.
dc.rights	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
dc.rights.uri	http://creativecommons.org/licenses/by-nc-nd/4.0/	*
dc.subject	Trajectory statistical solution	es
dc.subject	Trajectory attractor	es
dc.subject	Liouville type equation	es
dc.subject	Autonomous evolution equation	es
dc.subject	Magneto-micropolar fluids	es
dc.title	Trajectory statistical solutions and Liouville type equations for evolution equations: abstract results and applications	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	11971356	es
dc.relation.projectID	11271290	es
dc.relation.projectID	LY17A010011	es
dc.relation.projectID	PGC2018-096540-B-I00	es
dc.relation.publisherversion	https://reader.elsevier.com/reader/sd/pii/S0022039619306515?token=0EA97318704642FCE775BF7623EED269AA9FC80681D681A158B3CCFFF546EB340D0082A66129C3A0C4B77EC721C79ED1	es
dc.identifier.doi	10.1016/j.jde.2019.12.011	es
dc.contributor.group	Universidad de Sevilla. FQM314: Análisis Estocástico de Sistemas Diferenciales	es
dc.journaltitle	Journal of Differential Equations	es
dc.publication.volumen	269	es
dc.publication.issue	1	es
dc.publication.initialPage	467	es
dc.publication.endPage	494	es
dc.contributor.funder	National Natural Science Foundation of China	es
dc.contributor.funder	European Commission (EC). Fondo Europeo de Desarrollo Regional (FEDER)	es
dc.contributor.funder	Ministerio de Ciencia, Innovación y Universidades (MICINN). España	es

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