Special Session 19: Stochastic Partial Differential Equations

On the Boussinesq hypothesis for a stochastic Proudman-Taylor model

Dejun Luo
Academy of Mathematics and Systems Science, Chinese Academy of Sciences
Peoples Rep of China
Co-Author(s):    Franco Flandoli
We introduce a stochastic version of Proudman-Taylor model, a 2D-3C fluid approximation of the 3D Navier-Stokes equations, with the small scale turbulence modeled by a transport-stretching noise. For this model we may rigorously take a scaling limit leading to a deterministic model with additional viscosity on large scales. In certain noise examples without mirror smmetry, we identify an AKA effect.