A scaling limit for the stochastic mSQG equations with multiplicative transport noises.

We consider on the 2D torus the modified Surface Quasi-Geostrophic (mSQG) equation with L 2 -initial data and perturbed by multiplicative transport noise. Under a suitable scaling of the noises, we show that the solutions converge weakly to the unique solution of the dissipative mSQG equation. [ABSTRACT FROM AUTHOR]