TRR 181 Seminar "Passive scalar mixing: looking for the Batchelor scale" by Camilla Nobili (UHH)

The TRR 181 seminar is held by  Camilla Nobili (UHH) on December 3, 11am.

Passive scalar mixing: looking for the Batchelor scale

Abstract

I often hear conversation about “mixing” within the TRR181. Although the scientific concept is rather universal, with this talk I will take the opportunity to describe passive-scalar mixing by analyzing a fundamental partial differential equation modeling it. I will go through the problem of defining a good (functional) measure for mixing and then I will state a recent conjecture of Charles Doering and Chris Miles (stated in “Diffusion-limited mixing by incompressible flows”, Nonlinearity 2018) about “convergence to the Batchelor scale”. I will finally sketch my recent result in collaboration with Steffen Pottel connected to this conjecture, relate it to other (numerical and analytical) recent results and describe some open problems.