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math.AP2025
Mathematical Analysis of the PDE Model for the Consensus-based Optimization
Jinhuan Wang, Keyu Li, Hui Huang
In this paper, we develop an analytical framework for the partial differential equation underlying the consensus-based optimization model. The main challenge arises from the nonlin…
math.AP2025
Global existence of martingale solutions to stochastic keller-segel system with degenerate diffusion
Jinhuan Wang, Qian Li, Hui Huang
In this paper, we study the stochastic degenerate Keller-Segel system perturbed by linear multiplicative noise in a bounded domain . We establish the global existence…