Lagrangian structures for the Stokes, Navier-Stokes and Euler equations
  We prove that the Navier-Stokes, the Euler and the Stokes equations admit a Lagrangian structure using the stochastic embedding of Lagrangian systems. These equations coincide with extremals of an explicit stochastic Lagrangian functional, i.e. they are stochastic Lagrangian systems in the sense of [Cresson-Darses, J. Math. Phys. 48, 072703 (2007] 
Jacky Cresson (IMCCE, LMA-PAU), S\'ebastien Darses (BU)