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A stochastic variational principle for the Navier-Stokes equation on the torus

GFM seminar
CIUL, B3-01
2008-01-30 14:30 .. 15:30
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by Fernanda Cipriano (GFMUL / FCTUNL, Portugal)

A stochastic variational principle for the (deterministic) Navier-Stokes equation is established: the velocity field can be considered as a generalized velocity of a diffusion process with values in the diffeomorphism group of the underlying manifold. Navier-Stokes is therefore characterized as a perturbed equation of geodesics, as (according to V. Arnold) Euler equation can be interpreted as an equation of geodesics in the same space. (Joint work with A.B. Cruzeiro).
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