69 citations · 196 across the 30 of their papers we have counts for
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math.AP2018★ 1 cited
Zero-diffusion Limit for Aggregation Equations over Bounded Domains
Razvan C. Fetecau, Hui Huang, Daniel Messenger +1
We establish the zero-diffusion limit for both continuous and discrete aggregation models over convex and bounded domains. Compared with a similar zero-diffusion limit derived in […
math.AP2018★ 23 cited
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…
nlin.AO2018★ 22 cited
Self-organization on Riemannian manifolds
Razvan C. Fetecau, Beril Zhang
We consider an aggregation model that consists of an active transport equation for the macroscopic population density, where the velocity has a nonlocal functional dependence on th…