5 citations · 11 across the 5 of their papers we have counts for
5 papers
Dynamic Density Functional Theory with Inertia and Background Flow
Rory D. Mills-Williams, Benjamin D. Goddard, Andrew J. Archer
We present dynamic density functional theory (DDFT) incorporating general inhomogeneous, incompressible, time dependent background flows and inertia, describing externally driven p…
MultiShape: A Spectral Element Method, with Applications to Dynamic Density Functional Theory and PDE-Constrained Optimization
Jonna C. Roden, Rory D. Mills-Williams, John W. Pearson +1
A numerical framework is developed to solve various types of PDEs on complicated domains, including steady and time-dependent, non-linear and non-local PDEs, with different boundar…
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…
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…
The Singular Hydrodynamic Interactions Between Two Spheres In Stokes Flow
B. D. Goddard, R. D. Mills-Williams, J. Sun
We study exact solutions for the slow viscous flow of an infinite liquid caused by two rigid spheres approaching each either along or parallel to their line of centres, valid at al…