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Exponential Attractors for the 3D Fractional-order Bardina Turbulence Model With Memory and Horizontal Filtering

Authors :
Davide Catania
Michele Annese
Luca Bisconti
Source :
Journal of Dynamics and Differential Equations. 34:505-534
Publication Year :
2021
Publisher :
Springer Science and Business Media LLC, 2021.

Abstract

We consider the 3D simplified Bardina turbulence model with horizontal filtering, fractional dissipation, and the presence of a memory term incorporating hereditary effects. We analyze the regularity properties and the dissipative nature of the considered system and, in our main result, we show the existence of a global exponential attractor in a suitable phase space.

Details

ISSN :
15729222 and 10407294
Volume :
34
Database :
OpenAIRE
Journal :
Journal of Dynamics and Differential Equations
Accession number :
edsair.doi...........d0167fb45581ebdeeb6db626b139f977
Full Text :
https://doi.org/10.1007/s10884-020-09930-8