40 citations · 153 across the 14 of their papers we have counts for
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math.AP2018★ 1 cited
Aggregation-diffusion equations: dynamics, asymptotics, and singular limits
Jose A. Carrillo, Katy Craig, Yao Yao
Given a large ensemble of interacting particles, driven by nonlocal interactions and localized repulsion, the mean-field limit leads to a class of nonlocal, nonlinear partial diffe…
math.AP2018★ 1 cited
Aggregation-Diffusion to Constrained Interaction: Minimizers & Gradient Flows in the Slow Diffusion Limit
Katy Craig, Ihsan Topaloglu
Inspired by recent work on minimizers and gradient flows of constrained interaction energies, we prove that these energies arise as the slow diffusion limit of well-known aggregati…