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- W4297632145 abstract "In this paper, we study propagation of chaos for the parabolic-parabolic Keller-Segel model with a logarithmic cut-off by establishing a rigorous convergence analysis from a stochastic particle system to the parabolic-parabolic Keller-Segel (KS) equation for any dimension case. Under the assumption that the initial data are independent and identically distributed (i.i.d.) with a common probability density function $rho_0$, we rigorously prove the propagation of chaos for this interacting system with a cut-off parameter $varepsilonsim (ln N)^{-frac{2}{d+2}}$: when $Nrightarrow infty$, the joint distribution of the particle system is $f$-chaotic and the measure $f$ possesses a density which is a weak solution to the mean-field parabolic-parabolic KS equation." @default.
- W4297632145 created "2022-09-30" @default.
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- W4297632145 date "2022-09-04" @default.
- W4297632145 modified "2023-09-27" @default.
- W4297632145 title "Mean-field limit of a particle approximation for the parabolic-parabolic Keller-Segel model" @default.
- W4297632145 doi "https://doi.org/10.48550/arxiv.2209.01722" @default.
- W4297632145 hasPublicationYear "2022" @default.
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