A stochastic Keller-Segel equation with common environmental noise is shown to be well-posed and to arise as the mean-field limit of an interacting particle system.
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The microscopic derivation and well-posedness of the stochastic Keller-Segel equation
A stochastic Keller-Segel equation with common environmental noise is shown to be well-posed and to arise as the mean-field limit of an interacting particle system.