Rigorous mean-field limit derivation for the signal-dependent Keller-Segel system from stochastic particles, achieving algebraic convergence rate and strong propagation of chaos.
American Mathematical Soc
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Existence of optimal densities is proven for extremal weighted Steklov eigenvalues, with minimizers characterized as bang-bang functions possibly with disconnected support, and a Fréchet-differentiable surrogate plus numerical algorithm is introduced for computation on general domains.
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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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Extremal Eigenvalues of Weighted Steklov Problems
Existence of optimal densities is proven for extremal weighted Steklov eigenvalues, with minimizers characterized as bang-bang functions possibly with disconnected support, and a Fréchet-differentiable surrogate plus numerical algorithm is introduced for computation on general domains.