93 citations · 325 across the 25 of their papers we have counts for
26 papers
Hydrodynamic density-functional theory for the moving contact-line problem reveals fluid structure and emergence of a spatially distinct pattern
Andreas Nold, Benjamin D. Goddard, David N. Sibley +1
Understanding the nanoscale effects controlling the dynamics of a contact line -- defined as the line formed at the junction of two fluid phases and a solid -- has been a longstand…
On the study of slow-fast dynamics, when the fast process has multiple invariant measures
B. D. Goddard, M. Ottobre, K. J. Painter +1
Motivated by applications to mathematical biology, we study the averaging problem for slow-fast systems, {\em in the case in which the fast dynamics is a stochastic process with mu…
Improving tobacco social contagion models using agent-based simulations on networks
Adarsh Prabhakaran, Valerio Restocchi, Benjamin D. Goddard
Over the years, population-level tobacco control policies have considerably reduced smoking prevalence worldwide. However, the rate of decline of smoking prevalence is slowing down…
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…
Non-mean-field Vicsek-type models for collective behaviour
P. Buttà, B. Goddard, T. M. Hodgson +2
We consider interacting particle dynamics with Vicsek type interactions, and their macroscopic PDE limit, in the non-mean-field regime; that is, we consider the case in which each…
Poisson Equations with locally-Lipschitz coefficients and Uniform in Time Averaging for Stochastic Differential Equations via Strong Exponential Stability
Dan Crisan, Paul Dobson, Ben Goddard +2
We study averaging for Stochastic Differential Equations (SDEs) and Poisson equations. We succeed in obtaining a uniform in time (UiT) averaging result, with a rate, for fully coup…