Bounds on mixing norms for advection diffusion equations in the whole space via Fourier splitting and decay characters
Duration: 46 mins 57 secs
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About this item
| Description: |
Camilla Nobili (University of Surrey)
8 March 2022 – 13:30 to 14:30 |
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| Created: | 2022-03-14 13:19 |
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| Collection: | Mathematical aspects of turbulence: where do we stand? |
| Publisher: | Isaac Newton Institute |
| Copyright: | Camilla Nobili |
| Language: | eng (English) |
| Abstract: | I will start this talk introducing a conjecture of Charles Doering and Christopher Miles (stated in “Diffusion-limited mixing by incompressible flows”, Nonlinearity 2018) on long-time convergence to the Batchelor scale of a suitable norm for mixing in passive scalars. Motivated by this conjecture, I will present mixing estimates on obtained in collaboration with Steffen Pottel by means of the Fourier-splitting method. These estimates were recently (substantially) improved by relaxing the assumptions on initial conditions. |
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