Hydrodynamics, Probability and the Geometry of the Diffeomorphisms Group

  • Ana Bela CruzeiroEmail author
Conference paper
Part of the Progress in Probability book series (PRPR, volume 63)


We characterize the solution of Navier-Stokes equation as a stochastic geodesic on the diffeomorphisms group, thus generalizing Arnold’s description of the Euler flow.


Navier-Stokes equation diffeomorphisms group stochastic geodesic equation 


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Copyright information

© Springer Basel AG 2011

Authors and Affiliations

  1. 1.Dep. Matemática I.S.T. (TUL)LisboaPortugal
  2. 2.Grupo de Física-Matemática da Universidade de LisboaLisboaPortugal

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