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arxiv: 1709.06425 · v1 · pith:GIBNDEZ3new · submitted 2017-09-19 · 🧮 math.AP

On the Bardina's model in the whole space

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keywords modelalphabardinaspacewholeconsidercut-offdefined
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We consider the Bardina's model for turbulent incompressible flows in the whole space with a cut-off frequency of order 1/alpha. We show that for any alpha >0 fixed, the model has a unique regular solution defined for all time.

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