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