22 citations · 96 across the 16 of their papers we have counts for
17 papers
Limit curve theorems for incomplete metric spaces and the null distance on Lorentzian manifolds
Adam Rennie, Ben Whale
We prove a limit curve theorem for incomplete metric spaces. Our main application is to Sormani and Vegas' null distance, where our results give strong control on the Lorentzian le…
A curvature flow approach to dorsal closure modelling
Shuhui He, Ben Whale, Glen Wheeler +1
In this paper we propose and study a curvature-based mathematical model for dorsal closure in embryonic drosophila. Using an analysis that mixes maximum-principle and integral-esti…
What actually happens when you approach a gravitational singularity?
Susan M. Scott, Ben E. Whale
Roger Penrose's 2020 Nobel Prize in Physics recognises that his identification of the concepts of "gravitational singularity" and an "incomplete, inextendible, null geodesic" is ph…
The Endpoint Theorem
Susan M Scott, Ben E Whale
The Endpoint Theorem links the existence of a sequence (curve), without accumulation points, in a manifold to the existence of an open embedding of that manifold so that the image…
The global properties of the finiteness and continuity of the Lorentzian distance
Adam Rennie, Ben Whale
It is well-known that global hyperbolicity implies that the Lorentzian distance is finite and continuous. By carefully analysing the causes of discontinuity of the Lorentzian dista…
COFFEE -- An MPI-parallelized Python package for the numerical evolution of differential equations
Georgios Doulis, Jörg Frauendiener, Chris Stevens +1
COFFEE (ConFormal Field Equation Evolver) is a Python package primarily developed to numerically evolve systems of partial differential equations over time using the method of line…