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Mean-field-type limits of interacting particle systems for multiple species

By Ansgar Juengel

Appears in collection : Jean Morlet Chair 2021- Conference: Kinetic Equations: From Modeling Computation to Analysis / Chaire Jean-Morlet 2021 - Conférence : Equations cinétiques : Modélisation, Simulation et Analyse

The aim of this talk is the rigorous derivation of crossdiffusion systems from stochastic, moderately interacting many-particle systems for multiple species. Applications include animal populations and neuronal ensembles. The mean-field limit leads to nonlocal cross-diffusion systems, while the limit of vanishing interaction radius gives local cross-diffusion equations. This allows for the derivation of fluid-type models that can be found in neuronal networks and of Shigesada-Kawasaki-Teramoto population models. The derivation uses the techniques of Oehlschläger. The entropy structure of the limiting models is discussed and some numerical experiments are presented.

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Citation data

  • DOI 10.24350/CIRM.V.19734603
  • Cite this video Juengel Ansgar (3/22/21). Mean-field-type limits of interacting particle systems for multiple species. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19734603
  • URL https://dx.doi.org/10.24350/CIRM.V.19734603


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