Navier-Stokes equations: Classical and generalized models

seminar: Recent attempts on stochastic versions of the 3D Navier-Stokes equations

speaker: Franco Flandoli (Scuola Normale Superiore)

abstract: A finite dimensional differential equation perturbed by (suitable) white noise has a unique solution even if the vector field is only continuous. Due to this and other regularizing properties of the noise, it is natural to investigate whether white noise may improve the well-posedness of the 3D Navier-Stokes equations or Euler equations. No final result exists in this direction but at least two attempts will be summarized.

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