Navier-Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus

@inproceedings{Cruzeiro2008NavierStokesEA,
  title={Navier-Stokes equations and forward-backward SDEs on the group of diffeomorphisms of a torus},
  author={Ana Bela Cruzeiro and Evelina Shamarova},
  year={2008}
}
  • Ana Bela Cruzeiro, Evelina Shamarova
  • Published 2008
  • Mathematics
  • We establish a connection between the strong solution to the spatially periodic Navier-Stokes equations and a solution to a system of forward-backward stochastic differential equations (FBSDEs) on the group of volume-preserving diffeomorphisms of a flat torus. We construct representations of the strong solution to the Navier-Stokes equations in terms of diffusion processes. 

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