Stochastic a-Navier-Stokes Model: Properties and Applications

This lecture by Ludovic Goudenège discusses the stochastic a-Navier-Stokes model, a simplified version of the Navier-Stokes equation for fluid dynamics. The model aims to be easier to simulate numerically while conserving physical properties. Various related works and models are explored, including numerical simulations and closure equations in Large Eddy Simulations. The lecture also covers the Galerkin approximation, assumptions, existence, and uniqueness of solutions, as well as exponential moments and invariant measures. Applications of the model in biological contexts are briefly mentioned, hinting at mathematical challenges posed by the Covid-19 crisis.