Global Well-posedness of the Three-dimensional Viscous and Inviscid Simplified Bardina Turbulence Models∗

@inproceedings{Lunasin2006GlobalWO,
  title={Global Well-posedness of the Three-dimensional Viscous and Inviscid Simplified Bardina Turbulence Models∗},
  author={Evelyn Lunasin and Edriss S. Titi},
  year={2006}
}
In this paper we present analytical studies of three-dimensional viscous and inviscid simplified Bardina turbulence models with periodic boundary conditions. The global existence and uniqueness of weak solutions to the viscous model has already been established by Layton and Lewandowski. However, we prove here the global well-posedness of this model for weaker initial conditions. We also establish an upper bound to the dimension of its global attractor and identify this dimension with the… CONTINUE READING
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On a well-posed turbulence model

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