Large, moderate deviations principle and $\alpha$-limit for the 2D stochastic LANS-$\alpha$
Large, moderate deviations principle and $\alpha$-limit for the 2D stochastic LANS-$\alpha$
In this paper we consider the Lagrangian Averaged Navier-Stokes Equations, also known as, LANS-α Navier-Stokes model on the two dimensional torus.We assume that the noise is a cylindrical Wiener process and its coefficient is multiplied by √ α.We then study through the lenses of the large and moderate deviations principle …