Abstract We consider the cubic nonlinear Schrödinger (NLS) equation set on a two-dimensional box of size L with periodic boundary conditions. By taking the large-box limit L → ∞ in the weakly ...

We study the 2D surface quasi-geostrophic equation for thermal active scalars, that is an equation arising in the study of fast rotating fluids. This equation is a model problem for the 3D Euler ...