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.
The 2-D stochastic Keller-Segel particle model : existence and uniqueness
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We introduce a stochastic system of interacting particles which is expected to furnish as the number of particles goes to infinity a stochastic approach of the 2-D Keller-Segel model. In this note, we prove existence and some uniqueness for the stochastic model for the parabolic-elliptic Keller-Segel equation, for all regimes under the critical mass. Prior results for existence and weak uniqueness have been very recently obtained by N. Fournier and B. Jourdain [6].
fields
math.AP 1years
2019 1verdicts
ACCEPT 1representative citing papers
citing papers explorer
-
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.