caa a22 4500 606194215 CHVBK 20210128100913.0 cr unu---uuuuu 210128e20150801xx s 000 0 eng 10.1007/s00030-014-0305-y doi (NATIONALLICENCE)springer-10.1007/s00030-014-0305-y Global attractor for the Navier-Stokes equations with fractional deconvolution [Elektronische Daten] [Davide Catania, Alessandro Morando, Paola Trebeschi] We consider a large eddy simulation model for the 3D Navier-Stokes equations obtained through fractional deconvolution of generic order. The global well-posedness of such a problem is already known. We prove the existence of the global attractor for the solution operator and find estimates for its Hausdorff and fractal dimensions both in terms of the Grashoff number and in terms of the mean dissipation length, with particular attention to the dependence on the fractional and deconvolution parameters. These results can be interpreted as bounds for the number of degrees of freedom of long-time dynamics, thus providing further information on the validity of the model for the simulation of turbulent 3D flows. Springer Basel, 2014 Navier-Stokes equations nationallicence Global attractor nationallicence Fractal and Hausdorff dimension nationallicence Approximate deconvolution models (ADM) and methods nationallicence Fractional filter nationallicence Large eddy simulation (LES) nationallicence Catania Davide DICATAM, Sezione Matematica, Università degli Studi di Brescia, Via Valotti 9, 25133, Brescia, Italy aut Morando Alessandro DICATAM, Sezione Matematica, Università degli Studi di Brescia, Via Valotti 9, 25133, Brescia, Italy aut Trebeschi Paola DICATAM, Sezione Matematica, Università degli Studi di Brescia, Via Valotti 9, 25133, Brescia, Italy aut Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 811-848 1021-9722 22:4<811 2015 22 30 https://doi.org/10.1007/s00030-014-0305-y text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00030-014-0305-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Catania Davide DICATAM, Sezione Matematica, Università degli Studi di Brescia, Via Valotti 9, 25133, Brescia, Italy aut NATIONALLICENCE 700 1- Morando Alessandro DICATAM, Sezione Matematica, Università degli Studi di Brescia, Via Valotti 9, 25133, Brescia, Italy aut NATIONALLICENCE 700 1- Trebeschi Paola DICATAM, Sezione Matematica, Università degli Studi di Brescia, Via Valotti 9, 25133, Brescia, Italy aut NATIONALLICENCE 773 0- Nonlinear Differential Equations and Applications NoDEA Springer Basel 22/4(2015-08-01), 811-848 1021-9722 22:4<811 2015 22 30