6 papers
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…
Rigorous derivation of the mean-field limit for the signal-dependent Keller-Segel system
Jinhuan Wang, Keyu Li, Hui Huang
We rigorously derive a two-dimensional Keller-Segel type system with signal-dependent sensitivity from a stochastic interacting particle model. By employing suitably defined stoppi…
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…
Error Estimation in the Mean-Field Limit of Kinetic Flocking Models with Local Alignments
Jinhuan Wang, Keyu Li, Hui Huang
In this paper, we present an innovative particle system characterized by moderate interactions, designed to accurately approximate kinetic flocking models that incorporate singular…