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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.AP2015
Analysis of the diffuse domain approach for a bulk-surface coupled PDE system
Helmut Abels, Kei Fong Lam, Björn Stinner
We analyse a diffuse interface type approximation, known as the diffuse domain approach, of a linear coupled bulk-surface elliptic partial differential system. The well-posedness o…