Invariant Measures and Statistical Solutions of the Globally Modified Navier-Stokes Equations

We obtain regularity results for solutions of the three dimensional system of globally modified Navier-Stokes equations, and we investigate the relationship between global attractors, invariant measures, time-average measures and statistical solutions of these system in the case of temporally indepe...

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Detalles Bibliográficos
Autores: Caraballo Garrido, Tomás, Kloeden, Peter E., Real Anguas, José
Tipo de recurso: artículo
Fecha de publicación:2008
País:España
Institución:Universidad de Sevilla (US)
Repositorio:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/23676
Acceso en línea:http://hdl.handle.net/11441/23676
https://doi.org/10.3934/dcdsb.2008.10.761
Access Level:acceso abierto
Palabra clave:Globally modified Navier-Stokes equations
regularity results
global attractors
invariant measures
statistical solutions
time-average measures
Descripción
Sumario:We obtain regularity results for solutions of the three dimensional system of globally modified Navier-Stokes equations, and we investigate the relationship between global attractors, invariant measures, time-average measures and statistical solutions of these system in the case of temporally independent forcing.