The equations of fluid mechanics

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


This first chapter introduces the equations of fluid mechanics and the various models which we study later. Among the many books published on fluid mechanics, and more generally on the mechanics of continuous media, we recommend that readers consult, for example, references [90, 66, 102, 127, 126, 123] if they seek a more detailed description of the various concepts. Moreover, some of the thermodynamics concepts we use here are very briefly described in Appendix B.


Strain Rate Tensor Material Derivative Viscous Stress Tensor Transport Theorem Incompressible Model 
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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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