Mathematics Colloquia and Seminars
An example of anomalous dissipation for passive scalarsPDE and Applied Math Seminar
|Speaker:||Theodore Drivas, Princeton|
|Start time:||Thu, Oct 31 2019, 4:30PM|
We give an example of a rough divergence-free velocity field for which all solutions to the associated advection-diffusion equation experience anomalous dissipation of energy. The mechanism for scalar dissipation is a built-in direct energy cascade in the synthetic velocity field. Connections to the the Obukhov–Corrsin monofractal theory of scalar turbulence will be discussed.