Speaker
Rowan Keefer
Description
The Obukhov--Corrsin spectrum predicts the distribution of Fourier mass for a passive scalar field advected by a "turbulent" velocity field with spatial regularity between 0 and 1 and subject to a time-stationary forcing. We discuss how a form of the Obukhov--Corrsin spectrum holds as a consequence of a sharp anomalous regularization result as well as the proof of this anomalous regularization for a broad class of Kraichnan-type models.
