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2D Smagorinsky-Type Large Eddy Models as Limits of Stochastic PDEs

  • Franco Flandoli,
  • Dejun Luo,
  • Eliseo Luongo

摘要

We prove that a version of Smagorinsky large eddy model for a 2D fluid in vorticity form is the scaling limit of suitable stochastic models for large scales, where the influence of small turbulent eddies is modeled by a transport-type noise.