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math.AP2024
Two-dimensional signal-dependent parabolic-elliptic Keller-Segel system and its mean-field derivation
Lukas Bol, Li Chen, Yue Li
In this paper, the well-posedness of two-dimensional signal-dependent Keller-Segel system and its mean-field derivation from a interacting particle system on the whole space are in…
math.AP2023
Rigorous Derivation of the Degenerate Parabolic-Elliptic Keller-Segel System from a Moderately Interacting Stochastic Particle System. Part I Partial Differential Equation
Li Chen, Veniamin Gvozdik, Yue Li
The aim of this paper is to provide the analysis result for the partial differential equations arising from the rigorous derivation of the degenerate parabolic-elliptic Keller-Sege…