Navier–Stokes equations for homogeneous fluids

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


The main matter of this chapter concerns existence, uniqueness, and regularity results in a bounded domain of ℝd, d = 2, 3 for solutions of the incompressible homogeneous Navier–Stokes equations. The study of steady solutions and their stability properties is also investigated.

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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