70 citations · 244 across the 29 of their papers we have counts for
4 papers · 1 filter
Domain formation via phase separation for spherical biomembranes with small deformations
Charles M. Elliott, Luke Hatcher
We derive and analyse an energy to model lipid raft formation on biological membranes involving a coupling between the local mean curvature and the local composition. We apply a pe…
Small deformations of spherical biomembranes
Charles M. Elliott, Luke Hatcher, Philip J. Herbert
In this contribution to the proceedings of the 11th Mathematical Society of Japan (MSJ) Seasonal Institute (July 2018) we give an overview of some recent work on a mathematical mod…
Second order splitting of a class of fourth order PDEs with point constraints
Charles M. Elliott, Philip J. Herbert
We formulate a well-posedness and approximation theory for a class of generalised saddle point problems with a specific form of constraints. In this way we develop an approach to a…
A domain mapping approach for elliptic equations posed on random bulk and surface domains
Lewis Church, Ana Djurdjevac, Charles M. Elliott
In this article, we analyse the domain mapping method approach to approximate statistical moments of solutions to linear elliptic partial differential equations posed over random g…