Diffusion and Mixing for Two-dimensional Hamiltonian Flows

Michele Coti-zelati

We consider general two-dimensional autonomous velocity fields and prove that their mixing and dissipation features are limited to algebraic rates. As an application, we consider a standard cellular flow on a periodic box, and explore potential consequences for the long-time dynamics in the two-dimensional Euler equations.

https://www.ias.edu/video/diffusion-and-mixing-two-dimensional-hamiltonian-flows