4 papers · 1 filter
Global Existence and Pathwise Uniqueness for a Stochastic Parabolic-Parabolic Keller-Segel System
Jinhuan Wang, Qian Li, Hui Huang
In this paper, we study a stochastic parabolic-parabolic Keller-Segel system driven by nonlocal, nonlinear multiplicative noise in a two-dimensional bounded domain. Under suitable…
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…
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…
The rigorous derivation of Vlasov equations with local alignments from moderately interacting particle systems
Jinhuan Wang, Mengdi Zhuang, Hui Huang
In this paper, we present a rigorous derivation of the mean-field limit for a moderately interacting particle system in . For stochastic initial data, we demonstr…