A new random model for the Euler and Navier-Stokes equations and related equations

December 13, 2021
I will introduce a new model of randomly agitated equations. I will focus on the finite finite dimensional approximations (analogous to Galerkin approximations) and the two-dimensional setting. I will discuss number of properties of the models including ergodicity and positive Lyapunov exponents. The discussion will also include some motivating computational experiments. This is work in progress with Omar Melikechi and Andrea Agazzi who are both at Duke