Abstract
We consider the Bardina’s model for turbulent incompressible flows in the whole space with a cut-off frequency of order \(\alpha ^{-1} >0\). We show that for any \(\alpha >0\) fixed, the model has a unique regular solution defined for all \(t \in [0, \infty [\).
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The research that led to the present paper was partially supported by a grant of the group GNAMPA of INdAM.
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Lewandowski, R., Berselli, L.C. On the Bardina’s Model in the Whole Space. J. Math. Fluid Mech. 20, 1335–1351 (2018). https://doi.org/10.1007/s00021-018-0369-2
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DOI: https://doi.org/10.1007/s00021-018-0369-2