Steady Stokes equations

  • Franck Boyer
  • Pierre Fabrie
Part of the Applied Mathematical Sciences book series (AMS, volume 183)


The first section of this chapter is dedicated to the proof of the Necas inequality which says that, in the space L 2(Ω), the L 2-norm is equivalent to the sum of the H -1-norm of the function and of its gradient. Even if this seems to be a very natural property, the proof (given here in any Lipschitz domain with compact boundary) is far from being straightforward.


Neumann Problem Lipschitz Domain Stokes Problem Related Space Stokes Operator 
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Copyright information

© Springer Science+Business Media New York 2013

Authors and Affiliations

  • Franck Boyer
    • 1
  • Pierre Fabrie
    • 2
  1. 1.Laboratoire d’Analyse, Topologie, ProbabilitésAix Marseille UniversitéMarseilleFrance
  2. 2.Institut de Mathématiques de Bordeaux Institut Polytechnique de BordeauxENSEIRB-MATMECAPessacFrance

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