Finite-element-based Faedo-Galerkin weak solutions to the Navier-Stokes equations in the three-dimensional torus are suitable

@inproceedings{Guermond2006FiniteelementbasedFW,
  title={Finite-element-based Faedo-Galerkin weak solutions to the Navier-Stokes equations in the three-dimensional torus are suitable},
  author={Jean-Luc Guermond},
  year={2006}
}
Abstract It is shown in this paper that Faedo–Galerkin weak solutions to the Navier–Stokes equations in the three-dimensional torus are suitable provided they are constructed using finite-dimensional spaces having a discrete commutator property and satisfying a proper inf–sup condition. Low order mixed finite element spaces appear to be acceptable for this purpose. This question was open since the notion of suitable solution was introduced. 

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