56 citations · 204 across the 21 of their papers we have counts for
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math.AP2016★ 32 cited
Congested aggregation via Newtonian interaction
Katy Craig, Inwon Kim, Yao Yao
We consider a congested aggregation model that describes the evolution of a density through the competing effects of nonlocal Newtonian attraction and a hard height constraint. Thi…
math.AP2016★ 28 cited
Nonlinear Aggregation-Diffusion Equations: Radial Symmetry and Long Time Asymptotics
J. A. Carrillo, S. Hittmeir, B. Volzone +1
We analyze under which conditions equilibration between two competing effects, repulsion modeled by nonlinear diffusion and attraction modeled by nonlocal interaction, occurs. This…