3 papers
math.AP2020
On the sharp interface limit of a phase field model for near-spherical two phase biomembranes
Charles M. Elliott, Luke Hatcher, Björn Stinner
We consider sharp interface asymptotics for a phase field model of two phase near spherical biomembranes involving a coupling between the local mean curvature and the local composi…
math.AP2019
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…
math.AP2019
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…