A short introduction to mean-field limits for many-particle and multi-agent systems
Duration: 1 hour 4 mins
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| Description: |
Pierre-Emmanuel Jabin, Pennsylvania State University
17 January 2022 – 15:20 to 16:20 |
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| Created: | 2022-01-20 09:38 |
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| Collection: | Frontiers in analysis of kinetic equations |
| Publisher: | Isaac Newton Institute |
| Copyright: | Pierre-Emmanuel Jabin |
| Language: | eng (English) |
| Abstract: | This short course will introduce and review some classical and more recent approaches to the mean field limit and propagation of chaos for systems of many particles, leading either to kinetic models such as Vlasov equations or to macroscopic equations.
We will first introduce some of the main models and challenges, around in particular the dynamics of point vortices, so-called Coulomb gases and the dynamics of point masses or point charges. The second part of the course will briefly introduce three recent novel approaches: The relative entropy on the Liouville equation, the modulated energy on the empirical measure and new estimates on the Vlasov hierarchy. |
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