3 citations · 3 across the 2 of their papers we have counts for
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Cahn-Hilliard equations on an evolving surface
Diogo Caetano, Charles M. Elliott
We describe a functional framework suitable to the analysis of the Cahn-Hilliard equation on an evolving surface whose evolution is assumed to be given \textit{a priori}. The model…
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…
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…
Stochastic Partial Differential Equations on Evolving Surfaces and Evolving Riemannian Manifolds
C. M. Elliott, M. Hairer, M. R. Scott
We formulate stochastic partial differential equations on Riemannian manifolds, moving surfaces, general evolving Riemannian manifolds (with appropriate assumptions) and Riemannian…