4 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…