Some mathematical aspects of climate modelling

In this talk we discuss several topics from theory and practice of climate modelling. Results from recent high resolution computations with the climate model ICON are shown and physical and mathematical implications are described. This comprises the role of submesoscale turbulence in the dynamics of the ocean and the current practice in subgridscale modelling in light of recent analytical results of the ocean primitive equations. Finally we introduce a stochastic approach to climate modelling related to Hasselmann’s paradigm and study its mathematical properties.