Rigorous mean-field limit derivation for the signal-dependent Keller-Segel system from stochastic particles, achieving algebraic convergence rate and strong propagation of chaos.
Quantitative approximation of the Keller-Segel and Burgers equations by moderately interacting particles
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Existence, uniqueness, and positivity-preserving properties are established for a non-local singular non-linear Fokker-Planck PDE and its corresponding McKean SDE.
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Rigorous derivation of the mean-field limit for the signal-dependent Keller-Segel system
Rigorous mean-field limit derivation for the signal-dependent Keller-Segel system from stochastic particles, achieving algebraic convergence rate and strong propagation of chaos.
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A non-local singular non-linear Fokker-Planck PDE
Existence, uniqueness, and positivity-preserving properties are established for a non-local singular non-linear Fokker-Planck PDE and its corresponding McKean SDE.