On Geometric and Analytic Mixing Scales
- Christian Zillinger (University of Southern California, Los Angeles)
In order to quantify weak convergence in passive or active scalar problems one commonly uses analytic or geometric mixing scales. While not equivalent, we show that after some modifications both notions are comparable. Here, we further introduce a dyadic model problem. In a second part, we consider decay rates of these scales for Sobolev regular initial data when evolving under transport type dynamics.