Invariant measures and Statistical solutions of the globally modified Navier-Stokes equations
Tomás Caraballo - Dpto. Ecuaciones Diferenciales y Análisis Numérico, Universidad de Sevilla, Apdo. de Correos 1160, 41080-Sevilla, Spain (email)
Abstract: 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.
Keywords: Globally modified
Navier-Stokes equations, regularity results, global attractors,
invariant measures, statistical solutions,time-average measures.
Received: May 2007; Revised: May 2008; Published: August 2008.
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