Analysis Seminar

Anomalous dissipation for passive scalars

Speaker: Theodore Drivas, Princeton

Location: Warren Weaver Hall 1302

Date: Thursday, February 13, 2020, 11 a.m.


We study anomalous dissipation in hydrodynamic turbulence in the context of passive scalars. We give an example of a rough divergence-free velocity field that explicitly exhibits anomalous dissipation for passive scalars. The mechanism for scalar dissipation is a built-in direct energy cascade in the synthetic velocity field. Connections to the Obukhov–Corrsin monofractal theory of scalar turbulence will be discussed. This is joint work with T. Elgindi, G. Iyer and In-Jee Jeong.