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Propagation of chaos for the Keller-Segel equation over bounded domains - MaRDI portal

Propagation of chaos for the Keller-Segel equation over bounded domains (Q2423245)

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Propagation of chaos for the Keller-Segel equation over bounded domains
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    Propagation of chaos for the Keller-Segel equation over bounded domains (English)
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    21 June 2019
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    The propagation of chaos property is studied for microscopic stochastic particle system associated to the Keller-Segel model of chemotaxis on bounded convex domains with no-flux boundary condition. The Wasserstein metrics are used to prove well-posedness of the stochastic differential equation, and that property together with well-posedness of the PDE problem are essential tools in the analysis.
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    chemotaxis
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    stochastic particle system
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    mean field limit
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    Wasserstein metric
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