5 papers · 1 filter
The nonlocal attraction-repulsion transport equation with power kernels
Massimo Fornasier, Hui Huang, Lukang Sun
We study a nonlocal continuity equation on in which a probability density is driven by the competition between attraction toward a prescribed background measure …
The microscopic derivation and well-posedness of the stochastic Keller-Segel equation
Hui Huang, Jinniao Qiu
In this paper, we propose and study a stochastic aggregation-diffusion equation of the Keller-Segel (KS) type for modeling the chemotaxis in dimensions . Unlike the classica…
On the mean-field limit for the Vlasov-Poisson-Fokker-Planck system
Hui Huang, Jian-Guo Liu, Peter Pickl
We rigorously justify the mean-field limit of a -particle system subject to the Brownian motion and interacting through a Newtonian potential in . Our result leads…
Propagation of chaos for the Keller-Segel equation over bounded domains
Razvan C. Fetecau, Hui Huang, Weiran Sun
In this paper we rigorously justify the propagation of chaos for the parabolic-elliptic Keller-Segel equation over bounded convex domains. The boundary condition under consideratio…
Learning interacting particle systems: diffusion parameter estimation for aggregation equations
Hui Huang, Jian-Guo Liu, Jianfeng Lu
In this article, we study the parameter estimation of interacting particle systems subject to the Newtonian aggregation and Brownian diffusion. Specifically, we construct an estima…