Large, moderate deviations principle and $\alpha$-limit for the 2D Stochastic LANS-$\alpha$

Z. I. Ali, P. A. Razafimandimby, T. A. Tegegn

In this paper we consider the Lagrangian Averaged Navier-Stokes Equations, also known as, LANS-$\alpha$ Navier-Stokes model on the two dimensional torus. We assume that the noise is a c…