On the Bardina's model in the whole space
Luigi C. Berselli, Roger Lewandowski
TL;DR
This paper analyzes the Bardina's model for turbulent incompressible flows in the whole space, proving the existence of a unique global regular solution for any fixed positive cutoff frequency alpha.
Contribution
It establishes the global well-posedness of Bardina's model in the whole space for any fixed cutoff frequency, a result not previously demonstrated.
Findings
Existence of unique regular solutions for all time
Global well-posedness of the model in the whole space
Applicability for any fixed positive cutoff frequency
Abstract
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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