39 citations · 44 across the 3 of their papers we have counts for
3 papers
The Mean Field Fokker-Planck Equation with Nonlinear No-flux Boundary Conditions
R. D. Mills-Williams, B. D. Goddard, G. A. Pavliotis
We consider the mean field Fokker-Planck equation subject to nonlinear no-flux boundary conditions, which necessarily arise when subjecting a system of Brownian particles interacti…
Noisy bounded confidence models for opinion dynamics: the effect of boundary conditions on phase transitions
Benjamin D. Goddard, Beth Gooding, Grigoris A. Pavliotis +1
We study SDE and PDE models for opinion dynamics under bounded confidence, for a range of different boundary conditions, with and without the inclusion of a radical population. We…
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…