71 citations · 137 across the 24 of their papers we have counts for
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math-ph2020
Fast non mean-field networks: uniform in time averaging
Julien Barré, Paul Dobson, Michela Ottobre +1
We study a population of particles, which evolve according to a diffusion process and interact through a dynamical network. In turn, the evolution of the network is coupled to…
math.AP2020★ 5 cited
Well-Posedness and Equilibrium Behaviour of Overdamped Dynamic Density Functional Theory
B. D. Goddard, R. D. Mills-Williams, M. Ottobre +1
We establish the global well-posedness of overdamped dynamic density functional theory (DDFT): a nonlinear, nonlocal integro-partial differential equation used in statistical mecha…