Mean Field Approximation of PDEs -- a Case Study of 2D Fluids

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• Dominic Wynter (University of Cambridge)
• Thursday 11 November 2021, 10:00-11:00
• Centre for Mathematical Sciences, MR15.

If you have a question about this talk, please contact Daniel Boutros.

We introduce mean field limits of interacting particles, and prove Dobrushin’s ‘79 result on convergence to a limiting PDE for Lipschitz interaction forces. We explain connections with molecular chaos. We outline the current state of the art of mean field limits for singular forces, especially systems of 2D vortices and of charged particles. We explain how large deviation principles allow us to obtain mean field limits for 2D vortex systems.

This talk is part of the Junior Analysis and PDE seminar series.

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• Centre for Mathematical Sciences, MR15

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