Special Session 75: Stochastic Evolution Systems Across Scales: Theory and Applications

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

Dejun Luo
Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Peoples Rep of China
Co-Author(s):    
Abstract:
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. This talk is based on a joint work with F. Flandoli and E. Luongo.