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An example of anomalous dissipation for passive scalars

PDE and Applied Math Seminar

Speaker: Theodore Drivas, Princeton
Location: 2112 MSB
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.